Partial Schauder estimates for second-order elliptic and parabolic equations

被引：16

作者：

Dong, Hongjie ^{[1
]}

Kim, Seick ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 40卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

MAXIMUM PRINCIPLE; VMO COEFFICIENTS; INTERIOR;

D O I：

10.1007/s00526-010-0348-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish Schauder estimates for both divergence and non-divergence form second-order elliptic and parabolic equations involving Holder semi-norms not with respect to all, but only with respect to some of the independent variables.

引用

页码：481 / 500

页数：20

共 22 条

[1] [Anonymous], 2015, Elliptic Partial Differential Equations of Second Order. Classics in Mathematics
[2] [Anonymous], 1996, 2 ORDER PARABOLIC DI, DOI DOI 10.1142/3302
[3] INTERIOR SCHAUDER ESTIMATES FOR PARABOLIC DIFFERENTIAL- (OR DIFFERENCE-) EQUATIONS VIA MAXIMUM PRINCIPLE
BRANDT, A
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1969, 7 (03) : 254 - &
[4] INTERIOR A PRIORI ESTIMATES FOR SOLUTIONS OF FULLY NON-LINEAR EQUATIONS
CAFFARELLI, LA
[J]. ANNALS OF MATHEMATICS, 1989, 130 (01) : 189 - 213
[5] Caffarelli LA, 1995, FULLY NONLINEAR ELLI
[6] Campanato S., 1964, Ann. Sc. Norm. Super. Pisa, V18, P137
[7] W2,P-SOLVABILITY OF THE DIRICHLET PROBLEM FOR NONDIVERGENCE ELLIPTIC-EQUATIONS WITH VMO COEFFICIENTS
CHIARENZA, F
FRASCA, M
LONGO, P
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 336 (02) : 841 - 853
[8] SCHAUDER ESTIMATES UNDER INCOMPLETE HOLDER CONTINUITY ASSUMPTIONS
FIFE, P
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1963, 13 (02) : 511 - &
[9] KNERR BF, 1980, ARCH RATION MECH AN, V75, P51
[10] Parabolic and elliptic equations with VMO coefficients
Krylov, N. V.
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (03) : 453 - 475

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