Found 226 Documents (Results 1–100)
Noetherian solvability and explicit solution of a singular integral equation with weighted Carleman shift in Besov spaces. (English) Zbl 1526.45001
Reviewer: Luigi Rodino (Torino)
Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate. (English) Zbl 1519.35366
A Carleman inequality on product manifolds and applications to rigidity problems. (English) Zbl 1509.35009
Lipschitz stability in inverse source problems for a singular parabolic equation. (English) Zbl 1494.35103
Conditional stability for a Cauchy problem for the ultrahyperbolic Schrödinger equation. (English) Zbl 1487.35015
Null controllability of a degenerate cascade model in population dynamics. (English) Zbl 1483.35284
N’Guérékata, Gaston M. (ed.) et al., Studies in evolution equations and related topics. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 211-268 (2021).
Carleman estimates and controllability for a degenerate structured population model. (English) Zbl 1475.35371
Scale-free unique continuation estimates and Logvinenko-Sereda theorems on the torus. (English) Zbl 1454.35040
Decays for Kelvin-Voigt damped wave equations. I: The black box perturbative method. (English) Zbl 1452.35030
Reviewer: Kaïs Ammari (Monastir)
Singular parabolic equations with interior degeneracy and non smooth coefficients: the Neumann case. (English) Zbl 1434.35264
On Cauchy problem for Laplace equation. (Russian. English summary) Zbl 1463.47226
Ufim. Mat. Zh. 11, No. 4, 92-106 (2019); translation in Ufa Math. J. 11, No. 4, 91-107 (2019).
Unique continuation property for multi-terms time fractional diffusion equations. (English) Zbl 1420.35054
Factorization of singular integral operators with a Carleman backward shift: the vector case. (English) Zbl 1476.47016
André, Carlos (ed.) et al., Operator theory, operator algebras, and matrix theory. Based on the presentations at the international workshop on operator theory and operator algebras, WOAT 2016, Lisbon, Portugal, July 5–8, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 267, 247-259 (2018).
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Cylindrical Carleman’s formula of subharmonic functions and its application. (English) Zbl 1438.31003
Convolution integral operators. (English. Russian original) Zbl 1412.42040
Sib. Math. J. 59, No. 4, 677-680 (2018); translation from Sib. Mat. Zh. 59, No. 4, 858-862 (2018).
Reviewer: Gumrah Uysal (Karabuk)
Carleman integral operators as multiplication operators and perturbation theory. (English) Zbl 1488.45057
On systems of linear functional equations of the second kind in \(L_2\). (English. Russian original) Zbl 1400.39027
Sib. Math. J. 58, No. 5, 845-849 (2017); translation from Sib. Mat. Zh. 58, No. 5, 1091-1097 (2017).
Integral equations of the third kind with unbounded operators. (English. Russian original) Zbl 1372.45002
Sib. Math. J. 58, No. 2, 255-263 (2017); translation from Sib. Mat. Zh. 58, No. 2, 333-343 (2017).
Reviewer: Shuji Watanabe (Maebashi)
Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients. (English) Zbl 1358.35219
On the \(C^\ast\)-algebra generated by the Bergman operator, Carleman second-order shift, and piecewise continuous coefficients. (English. Russian original) Zbl 1496.47130
Ukr. Math. J. 67, No. 9, 1400-1410 (2016); translation from Ukr. Mat. Zh. 67, No. 9, 1244-1252 (2015).
Some properties of the resolvent kernels for integral equations with bi-Carleman kernels. (English) Zbl 1379.45009
Reviewer: Shuji Watanabe (Maebashi)
Symbolic computation applied to the study of the kernel of a singular integral operator with non-Carleman shift and conjugation. (English) Zbl 1369.47059
Measure compact, almost compact, and integral operators of the first, second, and third kind. (English. Russian original) Zbl 1372.47043
Sib. Math. J. 57, No. 2, 292-302 (2016); translation from Sib. Mat. Zh. 57, No. 2, 373-387 (2016).
Reviewer: Peter P. Zabreĭko (Minsk)
Global Carleman estimates for degenerate parabolic operators with applications. (English) Zbl 1328.35114
Mem. Am. Math. Soc. 1133, ix, 207 p. (2016).
Reviewer: Vincenzo Vespri (Firenze)
On systems of linear functional equations of the third kind in \(L_2\). (English. Russian original) Zbl 1342.45003
Sib. Math. J. 56, No. 3, 435-441 (2015); translation from Sib. Mat. Zh. 56, No. 3, 549-556 (2015).
Reviewer: Stefan Balint (Timişoara)
Hilbert-type inequalities including some operators, the best possible constants and applications: a survey. (English) Zbl 1321.26037
Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 17-52 (2014).
Singular integral operators with linear fractional shifts on the unit circle. (English) Zbl 1339.47064
Bastos, M. Amélia (ed.) et al., Operator theory, operator algebras and applications. Selected papers based on the presentations at the workshop WOAT 2012, Lisbon, Portugal, September 11–14, 2012. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0815-6/hbk; 978-3-0348-0816-3/ebook). Operator Theory: Advances and Applications 242, 93-112 (2014).
Reviewer: Luigi Rodino (Torino)
On some generalized Riemann boundary value problems with shift on the real line. (English) Zbl 1335.47031
Cepedello Boiso, Manuel (ed.) et al., Concrete operators, spectral theory, operators in harmonic analysis and approximation. 22nd international workshop in operator theory and its applications, IWOTA 11, Sevilla, Spain, July 3–9, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0647-3/hbk; 978-3-0348-0648-0/ebook). Operator Theory: Advances and Applications 236, 103-115 (2014).
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Integral representation and asymptotic behavior of harmonic functions in half space. (English) Zbl 1297.31011
Linear functional equations of the first, second, and third kind in \(L_2\). (English. Russian original) Zbl 1284.45002
Sib. Math. J. 54, No. 6, 1029-1036 (2013); translation from Sib. Mat. Zh. 54, No. 6, 1294-1303 (2013).
Reviewer: Denis Sidorov (Irkutsk)
Measure-compact operators, almost compact operators, and linear functional equations in \(L_p\). (English. Russian original) Zbl 1282.47024
Sib. Math. J. 54, No. 3, 479-486 (2013); translation from Sib. Mat. Zh. 54, No. 3, 610-619 (2013).
Reviewer: Vladimir Kadets (Kharkov)
A kernel smoothing method for general integral equations. (English) Zbl 1292.45002
Reviewer: Denis Sidorov (Irkutsk)
On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator. (English) Zbl 1265.45001
Reviewer: C. G. Ambrozie (Praha)
Unique continuation and approximate controllability for a degenerate parabolic equation. (English) Zbl 1248.35034
An estimate for the number of solutions of a homogeneous generalized Riemann boundary value problem with shift. (English) Zbl 1272.45003
Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 163-177 (2012).
Reviewer: Luigi Rodino (Torino)
Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients. (English) Zbl 1236.45012
Reviewer: Michael Perelmuter (Kyïv)
Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data. (English) Zbl 1239.47040
Reviewer: Sergei V. Rogosin (Minsk)
Sufficient conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data. (English) Zbl 1236.47010
Reviewer: Sergei V. Rogosin (Minsk)
On the solvability of singular integral equations with reflection on the unit circle. (English) Zbl 1220.45002
Reviewer: P. K. Banerji (Jodhpur)
Some remarks and new developments concerning Hardy-type inequalities. (English) Zbl 1470.26038
Proceedings of the sixth international conference on functional analysis and approximation theory, Acquafredda di Maratea, Potenza, Italy, September 24–30, 2009. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo (2) 82, 93-122 (2010).
Integral operators with infinitely smooth bi-Carleman kernels of Mercer type. (English) Zbl 1399.47126
When is the optimal domain of a positive linear operator a weighted \(L^{1}\)-space? (English) Zbl 1264.47038
Curbera, Guillermo P. (ed.) et al., Vector measures, integration and related topics. Selected papers from the 3rd conference on vector measures and integration, Eichstätt, Germany, September 24–26, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0210-5/hbk; 978-3-0346-0211-2/ebook). Operator Theory: Advances and Applications 201, 361-369 (2010).
Reviewer: Şafak Alpay (Ankara)
Bounds for the kernel dimension of singular integral operators with Carleman shift. (English) Zbl 1242.47039
Todorov, Michail D. (ed.) et al., Application of mathematics in technical and natural sciences. Proceedings of the 2nd international conference (AMiTaNS’10), Sozopol, Bulgaria, June 21–26, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0856-2/pbk). AIP Conference Proceedings 1301, 68-76 (2010).
Reviewer: Lubomira Softova (Aversa)
Invertibility of singular integral operators with flip through explicit operator relations. (English) Zbl 1196.45014
Constanda, C. (ed.) et al., Integral methods in science and engineering. Volume 1: Analytic methods. Papers presented at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Basel: Birkhäuser (ISBN 978-0-8176-4898-5/hbk; 978-0-8176-4899-2/ebook). 105-114 (2010).
\(\langle 2,1\rangle\)-compact operators. (Russian, English) Zbl 1222.47026
Sib. Mat. Zh. 50, No. 1, 118-122 (2009); translation in Sib. Math. J. 50, No. 1, 96-99 (2009).
Inverse formulae for Fourier coefficients of delta-subharmonic functions in a half-plane. (English) Zbl 1224.31002
Mathematical models based on singular integral equations with non-Carleman shift. Analysis of solvability and numerical methods of solution. (Russian, English) Zbl 1212.65512
Mat. Metody Fiz.-Mekh. Polya 52, No. 2, 50-54 (2009); translation in J. Math. Sci., New York 170, No. 5, 622-628 (2010).
Reviewer: V. I. Zhukovsky (Moskva)
Simultaneous integral representability by infinitely smooth kernels with application to integral equations. (English) Zbl 1193.47052
Reviewer: Michael I. Gil’ (Beer-Sheva)
Factorization of singular integral operators with a Carleman backward shift: the case of bounded measurable coefficients. (English) Zbl 1190.47054
Reviewer: Ilie Valuşescu (Bucureşti)
Integral representations of unbounded operators by infinitely smooth bi-Carleman kernels. (English) Zbl 1191.47044
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
Unitary equivalence to integral operators and an application. (English) Zbl 1181.47032
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
On convex hull of orthogonal scalar spectral functions of a Carleman operator. (English) Zbl 1178.45019
On the Cauchy problem for the multi-dimensional Cauchy-Riemann operator in the Lebesgue space \( L^2\) in a domain. (English. Russian original) Zbl 1165.32019
Sb. Math. 199, No. 11, 1715-1733 (2008); translation from Mat. Sb. 199, No. 11, 141-160 (2008).
Reviewer: Vincent Thilliez (Villeneuve d’Ascq)
Reduction of singular integral operators with flip and their Fredholm property. (English) Zbl 1176.47034
Reviewer: Lizhong Peng (Beijing)
Mixed means for centered and uncentered averaging operators over spheres and related results. (English) Zbl 1157.26009
Reviewer: James Adedayo Oguntuase (Abeokuta)
On the extension of a certain class of Carleman operators. (English) Zbl 1142.47027
Reviewer: Kun Soo Chang (Seoul)
Calculation of the defect numbers of the generalized Hilbert and Carleman boundary value problems with linear fractional Carleman shift. (English) Zbl 1135.47047
Reviewer: Stefan G. Samko (Faro)
Factorization of singular integral operators with a Carleman shift via factorization of matrix functions: The anticommutative case. (English) Zbl 1130.47028
Reviewer: Hung Viet Le (Weatherford)
The kernel of singular integral operators with a finite group of linear-fractional shifts. (English) Zbl 1199.47200
Davidson, Kenneth R. (ed.) et al., Operator theory 20. Proceedings of the 20th international conference on operator theory, Timişoara, Romania, June 30–July 5, 2004. Bucharest: Theta (ISBN 978-973-85432-9-4; 973-85432-9-0). Theta Series in Advanced Mathematics 6, 143-156 (2006).
Reduction of operator families to integral form. (Russian, English) Zbl 1150.47348
Sib. Mat. Zh. 47, No. 5, 1092-1098 (2006); translation in Sib. Math. J. 47, No. 5, 896-900 (2006).
Singular integral operators in weighted spaces of continuous functions with oscillating continuity moduli and oscillating weights. (English) Zbl 1118.47025
Dritschel, Michael A. (ed.), The extended field of operator theory. Containing lectures of the 15th international workshop on operator theory and its applications, IWOTA 2004, Newcastle, Uk, July 12–16, 2004. Basel: Birkhäuser (ISBN 978-3-7643-7979-7/hbk; 978-3-7643-7980-3/e-book). Operator Theory: Advances and Applications 171, 323-347 (2006).
Reviewer: Alexei Yu. Karlovich (Braga)
Estimates for weakly singular integral operators defined on closed integration contours and their applications to the approximate solution of singular integral equations. (English. Russian original) Zbl 1128.45002
Differ. Equ. 41, No. 9, 1311-1322 (2005); translation from Differ. Uravn. 41, No. 9, 1242-1251 (2005).
Scales of weight characterizations for some multidimensional discrete Hardy and Carleman type inequalities. (English) Zbl 1129.26016
Reviewer: Cristinel Mortici (Targoviste)
One criterion for nuclearity of linear operators. (Russian, English) Zbl 1119.47020
Sib. Mat. Zh. 46, No. 5, 1072-1078 (2005); translation in Sib. Math. J. 46, No. 5, 857-862 (2005).
Integral representations of unbounded operators by infinitely smooth kernels. (English) Zbl 1118.47039
Reviewer: Vladimir S. Pilidi (Rostov-na-Donu)
Gårding’s inequality on manifolds with boundary. (English) Zbl 1088.58508
Imanuvilov, Oleg (ed.) et al., Control theory of partial differential equations. Papers of the conference, Washington, D. C., USA, May 30 – June 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 0-8247-2546-8/pbk). Lecture Notes in Pure and Applied Mathematics 242, 87-99 (2005).
MSC:
58J40
On a class of holomorphic functions representable by Carleman formulas in the interior of an equilateral cone from their values on its rigid base. (English) Zbl 1086.30037
Reviewer: Zbigniew Binderman (Warszawa)
Singular integral operators with Carleman shift and discontinuous coefficients in the spaces \(H^{\omega}_0(\Gamma,\rho)\). (English) Zbl 1076.45007
Reviewer: Hu Chuangan (Tianjin)
Factorization of singular integral operators with a Carleman shift via factorization of matrix functions. (English) Zbl 1057.47055
Böttcher, Albrecht (ed.) et al., Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12–15, 2000. Basel: Birkhäuser (ISBN 3-7643-6947-7/hbk). Oper. Theory, Adv. Appl. 142, 189-211 (2003).
Reviewer: Vladimir V. Peller (East Lansing)
Singular integral operators with piecewise almost periodic coefficients and Carleman shift. (English) Zbl 1038.45007
Böttcher, Albrecht (ed.) et al., Singular integral operators, factorization and applications. Proceedings of the 12th international workshop on operator theory and applications, IWOTA 2000, Faro, Portugal, September 12–15, 2000. Basel: Birkhäuser (ISBN 3-7643-6947-7/hbk). Oper. Theory, Adv. Appl. 142, 29-57 (2003).
On the algebra generated by the Bergman projection and a shift operator. I. (English) Zbl 1031.30021
Reviewer: Vasily A.Chernecky (Odessa)
The Newton-Kantorovich approximations for nonlinear singular integral equations with shift. (English) Zbl 1056.47054
Reviewer: Etienne Emmrich (Berlin)
On the operator equality and some of its application. (English) Zbl 1030.47032
Reviewer: Vladimir S.Pilidi (Rostov-na-Donu)
Integral operators and absolute convergence systems. (Russian, English) Zbl 1016.45008
Sib. Mat. Zh. 43, No. 3, 573-578 (2002); translation in Sib. Math. J. 43, No. 3, 458-462 (2002).
Reviewer: V.Grebenev (Novosibirsk)
Factorization of singular integral operators with a Carleman shift and spectral problems. (English) Zbl 1009.47034
Reviewer: Georgi E.Karadzhov (Sofia)
Algebra of singular integral operators with a Carleman backward slowly oscillating shift. (English) Zbl 0994.47046
Reviewer: Niels Jacob (Swansea)
Microlocal analysis in the Denjoy-Carleman class. (English) Zbl 0989.46021
Reviewer: V.Karunakaran (Madurai)
Spectrum problems for singular integral operators with Carleman shift. (English) Zbl 0994.47047
Reviewer: Niels Jacob (Swansea)
Equations with involutive operators. (English) Zbl 0990.47011
Boston, MA: Birkhäuser. xxii, 427 p. (2001).
Reviewer: Michal Zajac (Bratislava)
New spectral criteria for almost periodic solutions of evolution equations. (English) Zbl 0982.34074
Reviewer: Daniel C.Biles (Bowling Green)
Carleman’s inequality: History and new generalizations. (English) Zbl 0990.26016
Reviewer: János Aczél (Waterloo/Ontario)
Spectral relationships for integral operators in contact problem of impressing stamps. (English) Zbl 1055.74026
Classical Hardy’s and Carleman’s inequalities and mixed means. (English) Zbl 1024.26011
Rassias, Themistocles M. (ed.), Survey on classical inequalities. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 517, 27-65 (2000).
Singular integral equations on the real line with a fractional-linear Carleman shift. (English) Zbl 1027.47012
Reviewer: Alan Pryde (Clayton)
From Hardy to Carleman and general mean-type inequalities. (English) Zbl 1005.26018
Edmunds, David E. (ed.) et al., Function spaces and applications. Mainly the proceedings of the international conference on function spaces and applications to partial differential equations, New Delhi, India, December 15-19, 1997. New Delhi: Narosa Publishing House. 117-130 (2000).
Reviewer: Luboš Pick (Praha)
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