The Lp solvability of the Dirichlet problems for parabolic equations

被引：0

作者：

Tao, XX ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

STUDIA MATHEMATICA | 2000年 / 139卷 / 01期

关键词：

parabolic equation; L-p solvability; Dirichlet problems; Lip(1,1/2) cylinder;

D O I：

10.4064/sm-139-1-69-80

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For two general second order parabolic equations in divergence form in Lip(1, 1/2) cylinders, we give a criterion for the preservation of LP solvability of the Dirichlet problems.

引用

页码：69 / 80

页数：12

共 10 条

[1] [Anonymous], 1968, ANN SCUOLA NORM-SCI
[2] Doob J. L., 1984, CLASSICAL POTENTIAL
[3] A BACKWARD HARNACK INEQUALITY AND FATOU THEOREM FOR NONNEGATIVE SOLUTIONS OF PARABOLIC EQUATIONS
FABES, EB
GAROFALO, N
SALSA, S
[J]. ILLINOIS JOURNAL OF MATHEMATICS, 1986, 30 (04) : 536 - 565
[4] THE THEORY OF WEIGHTS AND THE DIRICHLET PROBLEM FOR ELLIPTIC-EQUATIONS
FEFFERMAN, RA
KENIG, CE
PIPHER, J
[J]. ANNALS OF MATHEMATICS, 1991, 134 (01) : 65 - 124
[5] Kenig CE., 1994, Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems
[6] LIM NL, 1996, J FUNCT ANAL, V138, P503
[7] CORRECTION TO A HARNACK INEQUALITY FOR PARABOLIC DIFFERENTIAL EQUATIONS
MOSER, J
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1967, 20 (01) : 231 - &
[8] WEIGHTED NORM INEQUALITIES FOR HARDY MAXIMAL FUNCTION
MUCKENHOUPT, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 165 (MAR) : 207 - +
[9] Nystrom K, 1997, INDIANA U MATH J, V46, P183
[10] STEIN EM, 1993, HARMONIC ANAL REAL V

← 1 →