Found 123 Documents (Results 1–100)
Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations. (English) Zbl 07812535
Reviewer: Dagmar Medková (Praha)
Regularity of the spatially homogenous fractional Kramers-Fokker-Planck equation. (English) Zbl 07725222
Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type. (English) Zbl 1519.76288
Reviewer: Václav Mácha (Praha)
Uniform linear inviscid damping and enhanced dissipation near monotonic shear flows in high Reynolds number regime. I: The whole space case. (English) Zbl 1533.76022
Semiclassical Gevrey operators in the complex domain. (Opérateurs semi-classiques de classe Gevrey dans le domaine complexe.) (English. French summary) Zbl 1523.32008
Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations. (English) Zbl 1514.35078
Validity of Whitham’s modulation equations for dissipative systems with a conservation law: phase dynamics in a generalized Ginzburg-Landau system. (English) Zbl 1525.35007
Reviewer: Luigi Amedeo Bianchi (Povo)
Global well-posedness of a Prandtl model from MHD in Gevrey function spaces. (English) Zbl 1513.76172
Semiclassical Gevrey operators on exponentially weighted spaces of holomorphic functions. (English) Zbl 1493.30076
On the analyticity and Gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space. (English) Zbl 1484.35104
Reviewer: Pascal Remy (Carrières-sur-Seine)
Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation. (English) Zbl 1525.35197
The Gevrey analyticity and decay for the micropolar system in the critical Besov space. (English) Zbl 1482.35013
Reviewer: Pascal Remy (Carrières-sur-Seine)
Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity. (English) Zbl 1481.76176
Reviewer: Ilya A. Chernov (Petrozavodsk)
Long-time decay to global solution of the 2D dissipative quasigeostrophic equation. (Chinese. English summary) Zbl 1474.35543
Global existence and Gevrey regularity to the Navier-Stokes-Nernst-Planck-Poisson system in critical Besov-Morrey spaces. (English) Zbl 1471.35221
Lower bounds on the radius of spatial analyticity for the 2D generalized Zakharov-Kuznetsov equation. (English) Zbl 1467.76077
On well-posedness of the Cauchy problem for 3D MHD system in critical Sobolev-Gevrey space. (English) Zbl 1464.35212
The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation. (English) Zbl 1466.35314
Well-posedness, stability and determining modes to 3D Burgers equation in Gevrey class. (English) Zbl 1462.35177
On the existence of full dimensional KAM torus for fractional nonlinear Schrödinger equation. (English) Zbl 1455.37061
\(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class. (English) Zbl 1448.35478
Blow-up of the maximal solution to 3D Boussinesq system in Lei-Lin-Gevrey spaces. (English) Zbl 1447.35076
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space. (English) Zbl 1434.35010
Inviscid damping near the Couette flow in a channel. (English) Zbl 1468.76025
Reviewer: Emmanuel Grenier (Lyon)
Space-time coupled least-squares spectral element methods for parabolic problems. (English) Zbl 07880240
Addition of lower order terms to weakly hyperbolic operators with preservation of their type of hyperbolicity. (Addition of lower order terms to weakly hyperbolic operators with preservation of their type of hyperbolicit.) (English) Zbl 1430.35002
On the existence of full dimensional KAM torus for nonlinear Schrödinger equation. (English) Zbl 1470.37096
Reviewer: Johanna Michor (Wien)
Functional dimension of solution space of differential operators of constant strength. (English) Zbl 1447.35124
Determining nodes for the damped forced periodic Korteweg-de Vries equation. (English) Zbl 1420.35315
Reviewer: Piotr Biler (Wrocław)
On a class of weakly hyperbolic operators. (English. Russian original) Zbl 1429.35152
J. Contemp. Math. Anal., Armen. Acad. Sci. 53, No. 6, 307-316 (2018); translation from Izv. Nats. Akad. Nauk Armen., Mat. 53, No. 6, 53-69 (2018).
Analyticity and existence of the Keller-Segel-Navier-Stokes equations in critical Besov spaces. (English) Zbl 1397.35186
Comment on “On the Carleman classes of vectors of a scalar type spectral operator”. (English) Zbl 1482.47071
The Gevrey boundary value problem for a third order equation. (Russian. English summary) Zbl 1413.35267
Gevrey regularity with weight for incompressible Euler equation in the half plane. (English) Zbl 1399.35107
On smooth solutions to the Gevrey problem for third order equations. (Russian. English summary) Zbl 1374.35230
On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations. (English) Zbl 1321.35179
On weighted hyperbolic polynomials. (English. Russian original) Zbl 1314.35021
J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 5, 212-222 (2014); translation from Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 5, 23-39 (2014).
Newton polygon and Gevrey hierarchy in the index formulas for a singular system of ordinary differential equations. (English) Zbl 1279.34103
Hill’s potentials in weighted Sobolev spaces and their spectral gaps. (English) Zbl 1215.34109
Reviewer: Khanlar R. Mamedov (Mersin)
Continuity of pseudo-differential operator \(h_{\mu , a}\) involving Hankel translation and Hankel convolution on some Gevrey spaces. (English) Zbl 1202.47057
Reviewer: Antonio Galbis (Valencia)
Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term. (English) Zbl 1197.35069
Reviewer: Marie Kopáčková (Praha)
Irregularity for singular system of ordinary differential equations in complex domain. (English) Zbl 1179.34102
Reviewer: Yoshitsugu Takei (Kyoto)
Toeplitz operators and arguments of analytic functions. (English) Zbl 1167.47023
Reviewer: Alexei Yu. Karlovich (Lisboa)
Sharp analytic-Gevrey regularity estimates down to \(t=0\) for solutions to semilinear heat equations. (English) Zbl 1224.35213
Analyticity of the free energy of a closed 3-manifold. (English) Zbl 1172.57007
Reviewer: Kazuo Habiro (Kyoto)
MSC:
57M27
57N10
57M25
Gevrey local solvability for degenerate parabolic operators of higher order. (English) Zbl 1129.35001
Toft, Joachim (ed.) et al., Modern trends in pseudo-differential operators. Basel: Birkhäuser (ISBN 978-3-7643-8097-7/hbk; 978-3-7643-8116-5/e-book). Operator Theory: Advances and Applications 172, 135-151 (2007).
Reviewer: Luigi Rodino (Torino)
Local solvability for powers of anisotropic operators. (English) Zbl 1128.35110
Reviewer: Petar Popivanov (Sofia)
Gevrey regularity in time for generalized KdV type equations. (English) Zbl 1101.35066
Berhanu, Shiferaw (ed.) et al., Recent progress on some problems in several complex variables and partial differential equations. Papers presented at the international conferences on partial differential equations and several complex variables, Wuhan, China, June 9–13, 2004 and on complex geometry and related fields, Shanghai, China, June 21–24, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3921-7/pbk). Contemporary Mathematics 400, 117-127 (2006).
On estimations of \(\varepsilon\)-entropy of compacts of infinitely differentiable functions on a segment. (Russian. English summary) Zbl 1055.26026
The pseudo-differential operator \(h_{\mu,a}\) on some Gevrey spaces. (English) Zbl 1072.47047
Reviewer: Anatoly N. Kochubei (Kyïv)
The Cauchy problem for some nonstrictly hyperbolic equations with nonregular coeficients and its applications. (English) Zbl 1052.35108
Colombini, Ferruccio (ed.) et al., Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10–14, 2002. Somerville, MA: International Press (ISBN 1-57146-150-7/pbk). Grad. Ser. Anal., 67-84 (2003).
Reviewer: Michael Reissig (Freiberg)
Spaces of smooth and generalized vectors of a bounded operator and their applications. (Ukrainian) Zbl 1096.47500
Ukrainian mathematical congress–2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 11. Functional analysis. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2779-5). 36-58 (2002).
Gevrey vectors of quasihomogeneous diffential operators. (Vecteurs Gevrey d’opérateurs différentiels quasihomogènes.) (French) Zbl 1036.35058
Reviewer: Luigi Rodino (Torino)
On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order. (English) Zbl 1026.35065
Reviewer: Otto Liess (Bologna)
MSC:
35L30
35A05
Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions. (English) Zbl 1031.35124
Reviewer: Vladimir Ďurikovič (Bratislava)
MSC:
35Q53
35A07
On “good” vectors for a family of unbounded operators and their application. (English) Zbl 1006.46035
Reviewer: A.N.Kochubei (Kyïv)
MSC:
46K10
On hypoellipticity of the operator \(\exp[-|x_1|^{-\sigma}]D_1^2+x_1^4D_2^2+1\). (English) Zbl 1005.35031
Reviewer: Petar Popivanov (Sofia)
On the denseness of subspaces of analytic vectors for a closed linear operator on a Banach space. (English. Ukrainian original) Zbl 0965.47001
Ukr. Math. J. 52, No. 7, 1130-1133 (2000); translation from Ukr. Mat. Zh. 52, No. 7, 985-987 (2000).
Reviewer: A.N.Kochubei (Kyïv)
MSC:
47A05
Hypoellipticity: Geometrization and speculation. (English) Zbl 0965.47033
Dolbeault, P. (ed.) et al., Complex analysis and geometry. Proceedings of the international conference in honor of Pierre Lelong on the occasion of his 85th birthday, Paris, France, September 22-26, 1997. Basel: Birkhäuser. Prog. Math. 188, 91-109 (2000).
On the Gevrey wellposedness of the Cauchy problem for some non-Kowalewskian equations. (English) Zbl 0962.35115
Reviewer: S.Jiang (Beijing)
Differential-operator equations: ordinary and partial differential equations. (English) Zbl 0936.35002
Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics. 103. Boca Raton, FL: Chapman & Hall/CRC. 541 p. (2000).
Reviewer: Vyacheslav Pivovarchik (Odessa)
On solvability of linear fractional differential equations in Banach spaces. (English) Zbl 1041.34045
On a conformal map, useful in the problem of stationary gravity waves. (Sur une transformation conforme, utile dans le problème des ondes de gravité stationnaires.) (French) Zbl 0914.76012
Asymptotic analysis for linear difference equations. (English) Zbl 0883.39006
Reviewer: Lothar Berg (Rostock)
MSC:
39A11
39A10
A mollification method for a noncharacteristic Cauchy problem for a parabolic equation. (English) Zbl 0861.35033
Reviewer: M.Reissig (Freiberg)
A generalization of Szegö’s theorem. (English. Russian original) Zbl 0880.42023
J. Contemp. Math. Anal., Armen. Acad. Sci. 31, No. 1, 73-79 (1996); translation from Izv. Nats. Akad. Nauk Armen., Mat. 31, No. 1, 85-92 (1996).
Reviewer: B.Osilenker (Moskva)
MSC:
42C30
Fredholm property of partial differential operators of irregular singular type. (English) Zbl 0872.35025
Reviewer: J.Janas (Kraków)
Sard’s theorem for hyper-Gevrey functionals on the Wiener space. (English) Zbl 0826.60045
Reviewer: J.Picard (Aubière)
Fredholm property for differential operators on formal Gevrey space and Toeplitz operator method. (English) Zbl 0846.47009
Wiener-Hopf equation and Fredholm property of the Goursat problem in Gevrey space. (English) Zbl 0807.45002
Reviewer: N.K.Karapetyants (Rostov-na-Donu)
On the structure of distributions with singleton support. (Russian) Zbl 0917.46033
Guts, A. K. (ed.), Fundamental and applied mathematics. Collection of scientific works. Omsk: Omskij Gosudarstvennyj Universitet, 38-43 (1994).
Reviewer: S.A.Malyugin (Novosibirsk)
Structure theorem of ultradistributions with compact support. (English) Zbl 0794.46033
Reviewer: P.P.Teodorescu (Bucureşti)
Some a priori estimates for weak solutions of the 3-D Navier-Stokes equations. (English) Zbl 0755.35085
Reviewer: I.Sh.Mogilevskij (Tver)
Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region. (English. Russian original) Zbl 0792.34004
Math. Notes 52, No. 3, 895-906 (1992); translation from Mat. Zametki 52, No. 3, 35-43 (1992).
On the convolution and the Laplace transformation in the space of Beurling-Gevrey tempered ultradistributions. (English) Zbl 0786.46037
Reviewer: I.Ciorănescu (Rio Piedras)
Smooth solutions of linear differential equations in Banach spaces. (English. Russian original) Zbl 0744.34055
Sov. Math. 35, No. 4, 8-14 (1991); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1991, No. 4(347), 9-16 (1991).
Reviewer: E.Barvínek (Brno)
Whitney’s extension theorem for nonquasianalytic classes of ultradifferentiable functions. (English) Zbl 0738.46009
Reviewer: K.D.Bierstedt (Paderborn)
Iterates of singular differential operators and ultradifferentiable functions. I. (Italian. English summary) Zbl 0727.47035
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 1, No. 4, 293-299 (1990).
MSC:
47E05
Global analytic and Gevrey surjectivity of the Mizohata operator \(D_ 2+ix_ 2^{2k}D_ 1\). (English) Zbl 0707.35036
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 1, No. 1, 37-39 (1990).
Reviewer: K.Taniguchi
Generalized Fourier expansions for zero-solutions of surjective convolution operators on \({\mathcal D}_\{\omega\}({\mathbb{R}})'\). (English) Zbl 0674.46021
Reviewer: R.Meise
On properties of functions in the Gevrey classes. (English. Russian original) Zbl 0753.42005
Sov. Math., Dokl. 42, No. 2, 550-554 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 4, 793-797 (1990).
Reviewer: P.Chandra (Ujjain)
The equation of convolution in the Gevrey spaces. (Russian) Zbl 0817.47068
Yulmukhametov, R. S. (ed.), Studies in approximation theory. Collection of articles. Ufa: Institut Matematiki BNTs AN SSSR, 114-122 (1989).
Reviewer: V.Marić (Novi Sad)
A Gevrey space characterization of certain Gelfand-Shilov spaces \(S^{\beta}_{\alpha}\). (English) Zbl 0684.46034
Reviewer: Ch.Swartz
Weak conditions for generation of cosine families in linear topological spaces. (English) Zbl 0682.34045
Gevrey spaces related to Lie algebras of operators. (English) Zbl 0724.46031
Eindhoven: Tech. Univ. Eindhoven, Thesis. 121 p. (1989).
Reviewer: H.Hogbe Nlend (Bordeaux)
Classes d’opérateurs faiblement hyperboliques non linéaires. (Classes of weakly hyperbolic nonlinear operators). (French) Zbl 0679.35008
Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1988, Exp. No. 5, 16 p. (1988).
Reviewer: S.Cinquini
Exact boundary controllability of a hybrid system of elasticity. (English) Zbl 0656.73029
Reviewer: H.Le Dret
A representation of symmetric functions in Carleman-Gevrey spaces. (English. Russian original) Zbl 0655.46029
J. Sov. Math. 42, No. 2, 1621-1628 (1988); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 149, 116-126 (1986).
Representation of symmetric functions in Gevrey-Carleman spaces. (English. Russian original) Zbl 0678.46031
Sov. Math. 31, No. 4, 14-21 (1987); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1987, No. 4(299), 13-18 (1987).
Reviewer: L.Simon
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