On the solvability of degenerate stochastic partial differential equations in sobolev spaces

被引：0

作者：

Gerencsér M. ^{[1
]}

Gyöngy I. ^{[1
]}

Krylov N. ^{[2
]}

机构：

[1] School of Mathematics and Maxwell Institute, The University of Edinburgh, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh

[2] University of Minnesota, 127 Vincent Hall, Minneapolis, 55455, MN

来源：

Stochastic Partial Differential Equations: Analysis and Computations | 2015年 / 3卷 / 1期

基金：

美国国家科学基金会;

关键词：

Cauchy problem; Degenerate stochastic parabolic PDEs; First order symmetric hyperbolic system;

D O I：

10.1007/s40072-014-0042-6

中图分类号：

学科分类号：

摘要：

Systems of parabolic, possibly degenerate parabolic SPDEs are considered. Existence and uniqueness are established in Sobolev spaces. Similar results are obtained for a class of equations generalizing the deterministic first order symmetric hyperbolic systems. © Springer Science+Business Media New York 2014.

引用

页码：52 / 83

页数：31

共 50 条

[41] ON SOLVABILITY OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS
NIRENBER.L
TREVES, JF
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (07): : 1072 - &
[42] On the solvability of a system of partial differential equations
Andryan, AA
DOKLADY AKADEMII NAUK, 1996, 348 (02) : 151 - 154
[43] On the solvability of linear partial differential equations
Koshimizu, H
Takeuchi, K
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1996, 72 (06) : 121 - 123
[44] Spaces of anisotropic ultradifferentiable functions and local solvability for semilinear partial differential equations
Cadeddu, Lucio
Gramchev, Todor
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (3-4) : 275 - 282
[45] NONLINEAR DEGENERATE ELLIPTIC EQUATIONS IN WEIGHTED SOBOLEV SPACES
Benali, Aharrouch
Jaouad, Bennouna
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[46] Cubature methods for stochastic (Partial) differential equations in weighted spaces
Dörsek P.
Teichmann J.
Velušček D.
Stochastic Partial Differential Equations: Analysis and Computations, 2013, 1 (4) : 634 - 663
[47] Ulam-Hyers stability of elliptic partial differential equations in Sobolev spaces
Andras, Szilard
Meszaros, Alpar Richard
APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 131 - 138
[48] DIFFERENTIAL DEGENERATE OPERATORS OF SUPERIOR ORDER IN SOBOLEV SPACES
Favini, Angelo
BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2006,
[49] Numerical approximation of singular-degenerate parabolic stochastic partial differential equations
Banas, Lubomir
Gess, Benjamin
Vieth, Christian
IMA JOURNAL OF NUMERICAL ANALYSIS, 2023, 44 (04) : 2090 - 2137
[50] HIGHER ORDER SPATIAL APPROXIMATIONS FOR DEGENERATE PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Hall, Eric Joseph
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (04) : 2071 - 2098

← 1 2 3 4 5 →