A priori estimates for solutions to systems of nonlinear parabolic equations

被引：0

作者：

Belopolskaya Ya.

机构：

来源：

Journal of Mathematical Sciences | 1998年 / 92卷 / 6期

关键词：

Cauchy Problem; Maximum Principle; Parabolic Equation; Viscosity Solution; Elliptic Operator;

D O I：

10.1007/BF02433434

中图分类号：

学科分类号：

摘要：

A class of nondiagonal systems of nonlinear parabolic equations that can be reduced to a scalar parabolic equation in the phase space of a larger dimension is described. In view of such a reduction, it is possible to state the maximum principle for solutions to systems of nonlinear parabolic equations and derive a priori C2+α-estimates for a solution to the Cauchy problem. ©1998 Plenum Publishing Corporation.

引用

页码：4256 / 4272

页数：16

共 50 条

[21] A priori estimates for classical solutions of fully nonlinear elliptic equations
CAO Yi1
2Department of Mathematics
Science China(Mathematics), 2011, 54 (03) : 457 - 462
[22] A priori estimates and existence of solutions to a system of nonlinear elliptic equations
Jiang, Yongsheng
Wei, Na
Wu, Yonghong
APPLIED MATHEMATICS LETTERS, 2024, 153
[23] A priori estimates for classical solutions of fully nonlinear elliptic equations
Cao Yi
Li DongSheng
Wang LiHe
SCIENCE CHINA-MATHEMATICS, 2011, 54 (03) : 457 - 462
[24] Holder estimates of solutions degenerate nonlinear parabolic equations
Gadjiev, Tahir Sadi
Aliyev, Sardar Yahya
Yagnalieva, Aybeniz H.
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (01): : 197 - 206
[25] A priori estimates for quasilinear degenerate parabolic equations
Manfredini, M
Pascucci, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (04) : 1115 - 1120
[26] A PRIORI ESTIMATES OF SOLUTIONS TO LINEAR SECOND-ORDER ELLIPTIC AND PARABOLIC EQUATIONS
IVANOV, AV
DOKLADY AKADEMII NAUK SSSR, 1965, 161 (06): : 1270 - &
[27] PRIORI ESTIMATES AND HARNACKS INEQUALITY FOR GENERALIZED SOLUTIONS OF DEGENERATE QUASILINEAR PARABOLIC EQUATIONS
KRUZHKOV, SN
KOLODII, IM
SIBERIAN MATHEMATICAL JOURNAL, 1977, 18 (03) : 434 - 449
[28] A PRIORI ESTIMATES FOR GENERALIZED SOLUTIONS TO SECOND-ORDER ELLIPTIC AND PARABOLIC EQUATIONS
KRUZHKOV, SN
DOKLADY AKADEMII NAUK SSSR, 1963, 150 (04): : 748 - &
[29] A priori estimates for solutions of fully nonlinear equations with convex level set
Caffarelli, LA
Yuan, Y
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2000, 49 (02) : 681 - 695
[30] Pointwise gradient estimates of solutions to onedimensional nonlinear parabolic equations
Philippe Bénilan †
Jesús Ildefonso Díaz
Journal of Evolution Equations, 2003, 3 : 577 - 602

← 1 2 3 4 5 →