Found 267 Documents (Results 1–100)
Normalization, optimal regularity, and solvability in Gevrey classes of vector fields near trapped orbits. (English) Zbl 1507.35078
Reviewer: Pascal Remy (Carrières-sur-Seine)
Optimal linearization of vector fields on the torus in non-analytic Gevrey classes. (English) Zbl 1512.37071
Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions. (English) Zbl 1493.30076
On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk. (English) Zbl 1486.30108
Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences. (English) Zbl 1476.30133
Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 181, 18 p. (2021).
Approximate solutions of one abstract Cauchy problem. (English. Russian original) Zbl 1458.35278
J. Math. Sci., New York 253, No. 2, 230-241 (2021); translation from Neliniĭni Kolyvannya 22, No. 3, 341-349 (2019).
Expansions of the real field by canonical products. (English) Zbl 1481.03024
Reviewer: Fujita Masato (Kure)
Extended Gevrey regularity via the short-time Fourier transform. (English) Zbl 1452.46028
Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 455-474 (2020).
Reviewer: Antonio Galbis (Valencia)
Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems. (English) Zbl 1437.35150
Reviewer: Luigi Rodino (Torino)
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis. (English) Zbl 1430.34071
Global regularity and solvability of left-invariant differential systems on compact Lie groups. (English) Zbl 1437.35685
Reviewer: Luigi Rodino (Torino)
On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one. (English) Zbl 1506.34076
Ultradifferential operators in the study of Gevrey solvability and regularity. (English) Zbl 1416.35169
Reviewer: Pascal Remy (Carrières-sur-Seine)
Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes. (English) Zbl 1403.30012
MSC:
30E15
Regularities for a new class of spaces between distributions and ultradistributions. (English) Zbl 1438.46048
On approximate solutions of the Cauchy problem for the differential-operator equation of a hyperbolic type. (Ukrainian. English summary) Zbl 1424.47165
The FBI transforms and their use in microlocal analysis. (English) Zbl 1395.35007
Reviewer: Elijah Liflyand (Ramat-Gan)
Comment on “On the Carleman classes of vectors of a scalar type spectral operator”. (English) Zbl 1482.47071
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II: Tensor representations. (English) Zbl 1398.46030
Regularity and solvability of linear differential operators in Gevrey spaces. (English) Zbl 1392.35087
Reviewer: Pascal Remy (Carrières-sur-Seine)
Periodic distributions and periodic elements in modulation spaces. (English) Zbl 1385.42007
Reviewer: Evgueni Doubtsov (St. Petersburg)
On the Gevrey strong hyperbolicity. (English) Zbl 1383.35118
Reviewer: Luigi Rodino (Torino)
Eigenfunction expansions of ultradifferentiable functions and ultradistributions. (English) Zbl 1366.46024
Reviewer: Bojan Prangoski (Skopje)
Beyond Gevrey regularity. (English) Zbl 1336.35098
Expansion of functions of a Gevrey class on the unit interal \([-1,1]\) into series of holomorphic functions. (Développement en série de fonctions holomorphes des fonctions d’une classe de Gevrey sur l’intervalle \([-1,1]\).) (French) Zbl 1474.30246
MSC:
30D60
Flat functions in Carleman ultraholomorphic classes via proximate orders. (English) Zbl 1308.30051
MSC:
30F15
Gevrey local solvability in locally integrable structures. (English) Zbl 1319.35321
Reviewer: Leszek Skrzypczak (Poznań)
Ultra-differentiable classes and intersection theorems. (English) Zbl 1302.46016
Reviewer: Antonio Galbis (Valencia)
On a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform. (English) Zbl 1291.35436
Cauchy problem for noneffectively hyperbolic operators. (English) Zbl 1282.35006
MSJ Memoirs 30. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-018-1/pbk). xi, 170 p. (2013).
Reviewer: Alberto Parmeggiani (Bologna)
Smooth Gevrey normal forms of vector fields near a fixed point. (English. French summary) Zbl 1273.37033
Reviewer: Hao Wu (Nanjing)
Strongly Gevrey wellposedness for systems with time-dependent coefficients. (English) Zbl 1254.35140
Gevrey regularity in time of solutions to nonlinear partial differential equations. (English) Zbl 1255.35070
Reviewer: Luigi Rodino (Torino)
Gevrey hypoellipticity for a class of kinetic equations. (English) Zbl 1242.35103
Reviewer: Luigi Rodino (Torino)
Analytic vectors in locally integrable structures. (English) Zbl 1236.35016
Barkatou, Y. (ed.) et al., Geometric analysis of several complex variables and related topics. Proceedings of the workshop, Marrakesh, Morocco, May 10–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5257-6/pbk). Contemporary Mathematics 550, 1-14 (2011).
Reviewer: Luigi Rodino (Torino)
Propagation of analyticity for a class of nonlinear hyperbolic equations. (English) Zbl 1225.35151
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 22, No. 2, 135-149 (2011).
Reviewer: Keisuke Uchikoshi (Yokosuka)
Exponential function of pseudo-differential operators in Gevrey spaces. (English) Zbl 1221.35459
Reviewer: Petar Popivanov (Sofia)
On some generalizations of Gevrey classes. (English) Zbl 1226.46033
Reviewer: Maria Carmen Fernandez Rosell (Valencia)
MSC:
46F05
Real analytic parameter dependence of solutions of differential equations over Roumieu classes. (English) Zbl 1221.35050
Reviewer: Michael Langenbruch (Oldenburg)
Sharp finite speed for hyperbolic problems well posed in Gevrey classes. (English) Zbl 1221.35223
Reviewer: K. Kajitani (Ibaraki)
MSC:
35L30
A result on analytical solutions of systems of grade-2 fluids in dimension 3. (Un résultat sur les solutions analytiques des systèmes de fluides de grade deux en dimension 3.) (French) Zbl 1311.35229
Dogbe, Christian (ed.) et al., Actes des colloques “EDP-Normandie”, Caen 2010 – Rouen 2011. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-0-6/pbk). Normandie-Mathématiques, 291-297 (2010).
A class of Fourier integral operators with complex phase related to the Gevrey classes. (English) Zbl 1204.35183
Energy estimates for wave equations with time dependent propagation speeds in the Gevrey class. (English) Zbl 1198.35032
Reviewer: Claudia Simionescu-Badea (Wien)
Affine ultraregular generalized functions. (English) Zbl 1201.46039
Kamiński, Andrzej (ed.) et al., Linear and non-linear theory of generalized functions and its applications. Proceedings of the Banach Center conference, Bȩdlewo, Poland, September 2–8, 2007. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-07-2/pbk). Banach Center Publications 88, 39-53 (2010).
Reviewer: Antonio Galbis (Valencia)
Small divisors problem in dynamical systems and analytic solutions of the Shabat equation. (English) Zbl 1191.37029
Reviewer: Boris V. Loginov (Ul’yanovsk)
On relationship between classes of \((\psi,\overline{\beta})\)-differentiable functions and Gevrey classes. (Russian, English) Zbl 1224.42008
Ukr. Mat. Zh. 61, No. 1, 140-144 (2009); translation in Ukr. Math. J. 61, No. 1, 171-177 (2009).
Toeplitz operators and arguments of analytic functions. (English) Zbl 1167.47023
Reviewer: Alexei Yu. Karlovich (Lisboa)
Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. (English) Zbl 1173.35300
Reviewer: Luigi Rodino (Torino)
MSC:
35A05
58J05
Estimates of the Gevrey classes of scattering data for polynomial potentials. (English. Russian original) Zbl 1177.35179
Russ. Math. Surv. 63, No. 4, 788-789 (2008); translation from Usp. Mat. Nauk 63, No. 4, 189-190 (2008).
Effective estimates for derivatives of inverse functions. (English. Russian original) Zbl 1168.46025
Izv. Math. 72, No. 4, 761-791 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 4, 141-172 (2008).
Reviewer: Peter Zabreiko (Minsk)
Remarks on the Levi conditions for differential systems. (English) Zbl 1169.35038
Reviewer: Luigi Rodino (Torino)
MSC:
35L45
Global \(s\)-solvability and global \(s\)-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields. (English) Zbl 1155.35010
Reviewer: Luigi Rodino (Torino)
Description of kernels and symbols of pseudo-differential operators of negative orders, associated to Gevrey classes. (English) Zbl 1264.47054
Global Fuchsian Goursat problem in the class of holomorphic-Gevrey functions. (English) Zbl 1138.35004
Reviewer: Luigi Rodino (Torino)
Global solutions of some nonlinear Fuchs equations in Gevrey spaces. (Solutions globales de certaines équations de Fuchs non linéaires dans les espaces de Gevrey.) (French) Zbl 1108.35002
Pseudo-differential operator involving Hankel translation and Hankel convolution on some Gevrey spaces. (English) Zbl 1136.47032
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
The generalized pseudo-differential operators on some Gevrey spaces. (English) Zbl 1158.47034
Reviewer: Viorel Iftimie (Bucureşti)
On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\). (English) Zbl 1138.35049
Reviewer: Messoud A. Efendiev (Berlin)
On the local solvability of powers of operators with multiple characteristics. (English) Zbl 1138.35005
Reviewer: Petar Popivanov (Sofia)
Gevrey hypoellipticity and solvability on the multidimensional torus of some classes of linear partial differential operators. (English) Zbl 1112.35046
Reviewer: Luigi Rodino (Torino)
Well-posedness of the Cauchy problem for some degenerate hyperbolic operators. (English) Zbl 1101.35058
Boggiatto, Paolo (ed.) et al., Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Basel: Birkhäuser (ISBN 3-7643-7513-2/hbk). Operator Theory: Advances and Applications 164, 23-41 (2006).
Reviewer: Luigi Rodino (Torino)
On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics. (English) Zbl 1096.35129
Reviewer: Alberto Parmeggiani (Bologna)
MSC:
35S05
35A07
Strong uniqueness for second order elliptic operators with Gevrey coefficients. (English) Zbl 1174.35335
Reviewer: Messoud A. Efendiev (Berlin)
Lower bounds of the splitting of the invariant manifolds. (Sur les bornes inférieures de l’écart des variétés invariantes.) (French) Zbl 1069.37019
Gevrey regularity for some P.D.E. governing the motion of a micropolar fluid in the three dimensional case. (English) Zbl 1073.35050
Reviewer: Luigi Rodino (Torino)
About Gevrey-\(L^2\)-estimates of pseudo-differential operators associated to the Gevrey symbols. (English) Zbl 1095.35084
Reviewer: Luigi Rodino (Torino)
Fourier integral operators of infinite order and applications to SG-hyperbolic equations. (English) Zbl 1079.35108
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. (English) Zbl 1082.35042
Reviewer: Luigi Rodino (Torino)
A characterization of the generators of analytic \(C_0\)-semigroups in the class of scalar type spectral operators. (English) Zbl 1082.47030
Reviewer: Bogdan Sasu (Timişoara)
Analytic and Gevrey solutions of nonlinear partial differential equations. (English) Zbl 1075.35129
Reviewer: Alberto Parmeggiani (Bologna)
Local solvability for partial differential equations with multiple characteristics. (English) Zbl 1069.35004
Chuong, N. M. (ed.) et al., Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. River Edge, NJ: World Scientific (ISBN 981-238-944-X/hbk). 257-270 (2004).
MSC:
35A07
Solvability in Gevrey classes for second powers of Mizohata operator. (English) Zbl 1083.35027
Reviewer: Angela Slavova (Sofia)
Optimal Gevrey classes for the existence of solution operators for linear partial differential operators in three variables. (English) Zbl 1065.47042
Reviewer: John Schmeelk (Doha)
Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. (English) Zbl 1225.47077
Sharp regularity of the coefficients in the Cauchy problem for a class of evolution equations. (English) Zbl 1074.35026
Rigidity of some groups of germs of diffeomorphisms. (Rigidité de quelques groupes de germes de difféomorphismes.) (French) Zbl 1058.37012
Reviewer: Neculai Papaghiuc (Iaşi)
Perturbation of differential operators admitting a continuous linear right inverse on ultradistributions. (English) Zbl 1072.47043
Reviewer: José Bonet (Valencia)
Linear continuous extension operators for Gevrey classes on polysectors. (English) Zbl 1050.32004
Reviewer: K. G. Malyutin (Sumy)
Cauchy problem in generalized Gevrey classes. (English) Zbl 1024.35063
Picard, Rainer (ed.) et al., Evolution equations. Propagation phenomena, global existence, influence on non-linearities. Based on the workshop, Warsaw, Poland, July 1-July 7, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 60, 269-278 (2003).
MSC:
35L40
Global solutions of a linear Cauchy problem. (Solutions globales d’un problème de Cauchy linéaire.) (French) Zbl 1035.35002
Reviewer: K. Kajitani (Ibaraki)
MSC:
35A10
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