Sobolev space theory of parabolic equations degenerating on the boundary of C1 domains

被引：14

作者：

Kim, Kyeong-Hun ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 7-9期

关键词：

C-1; domains; degenerate parabolic equations; Sobolev spaces with weights;

D O I：

10.1080/03605300600910449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Second-order parabolic equations degenerating on the boundary of C-1 domains are considered. Existence and uniqueness results are given in weighted Sobolev spaces, and Holder estimates of the solutions are presented.

引用

页码：1261 / 1280

页数：20

共 50 条

[41] C1,α REGULARITY FOR DEGENERATE PARABOLIC EQUATIONS ARISING FROM THE HESTON MODEL
Wang, Lihe
Zhang, Yaoyuan
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (12) : 3430 - 3460
[42] THE REGULARITY OF BOUNDARY POINTS FOR DEGENERATING LINEAR PARABOLIC EQUATIONS OF THE 2ND ORDER
MAMEDHUSEINOV, RK
IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1983, 4 (01): : 29 - 34
[43] W2,δ estimates for fully nonlinear parabolic inequalities on C1,α domains
Li, Xuemei
APPLIED MATHEMATICS LETTERS, 2025, 163
[44] Ultraboundedness for parabolic equations in convex domains without boundary conditions
Da Prato, Giuseppe
Lunardi, Alessandra
PHYSICA D-NONLINEAR PHENOMENA, 2010, 239 (15) : 1453 - 1457
[45] Hardy spaces and potential theory on C1 domains in Riemannian manifolds
Dindos, Martin
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 191 (894) : 1 - 52
[46] Regularity and free boundary regularity for the p laplacian in Lipschitz and c1 domains
Lewis, John L.
Nystroem, Kaj
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2008, 33 (02) : 523 - 548
[47] Nonclassical semilinear boundary value problem for parabolic pseudodifferential equations in Sobolev spaces
Yu. V. Egorov
Nguyen Minh Chuong
Dang Anh Tuan
Doklady Mathematics, 2006, 74 : 874 - 877
[48] Nonclassical semilinear boundary value problem for parabolic pseudodifferential equations in Sobolev spaces
Egorov, Yu. V.
Chuong, Nguyen Minh
Tuan, Dang Anh
DOKLADY MATHEMATICS, 2006, 74 (03) : 874 - 877
[49] ABSTRACT PARABOLIC EQUATIONS WITH APPLICATIONS TO PROBLEMS IN CYLINDRICAL SPACE DOMAINS
Di Cristo, Michele
Guidetti, Davide
Lorenzi, Alfredo
ADVANCES IN DIFFERENTIAL EQUATIONS, 2010, 15 (1-2) : 1 - 42
[50] Solvability of boundary value problems for a class of Sobolev type equations in noncylindrical domains
N. R. Pinigina
Differential Equations, 2015, 51 : 204 - 213

← 1 2 3 4 5 →