Gradient estimates for solutions of ultraparabolic equations

被引：1

作者：

Touaoula, Tarik Mohamed ^{[1
]}

Chouali, Noureddine ^{[1
]}

机构：

[1] Univ Tlemcen, Dept Math, Tilimsen 13000, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2008年 / 5卷 / 01期

关键词：

ultraparabolic equation; regularization; maximum principle; larvae growth;

D O I：

10.1007/s00009-008-0138-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a priori estimates for solutions to ultraparabolic equations which play a crucial role in the solvability of the initial value problem. A class of these equations came from population dynamics, namely from a fish larvae model.

引用

页码：101 / 111

页数：11

共 50 条

[31] INTERIOR GRADIENT ESTIMATES FOR SOLUTIONS OF PRESCRIBED CURVATURE EQUATIONS OF PARABOLIC TYPE
GUAN, B
SPRUCK, J
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1991, 40 (04) : 1471 - 1481
[32] GRADIENT ESTIMATES AND GRADIENT BLOW UP OF VISCOSITY SOLUTIONS TO DEGENERATE ELLIPTIC EQUATIONS ON "INTERIOR BOUNDARIES"
Chobanov, Georgi
Kutev, Nikolay
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2013, 66 (04): : 477 - 484
[33] ON CLASS OF ULTRAPARABOLIC EQUATIONS
ILIN, AM
DOKLADY AKADEMII NAUK SSSR, 1964, 159 (06): : 1214 - &
[34] L~q Interior Estimates of the Gradient for Weak Solutions of Quasilinear Elliptic Equations
Feng Ping YAO Yong Yong CAI LMAM
Acta Mathematica Sinica(English Series), 2007, 23 (12) : 2225 - 2234
[35] ON BOUNDARY WADER GRADIENT ESTIMATES FOR SOLUTIONS TO THE LINEARIZED MONGE-AMPERE EQUATIONS
Le, Nam Q.
Savin, Ovidiu
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (04) : 1605 - 1615
[36] Estimates for the Gradient of Solutions of Nonlinear Elliptic Equations with L1 Data
Alvino A.
Ferone V.
Trombetti G.
Annali di Matematica Pura ed Applicata, 2000, 178 (1) : 129 - 142
[37] Local gradient estimates of solutions to some conformally invariant fully nonlinear equations
Li, YanYan
COMPTES RENDUS MATHEMATIQUE, 2006, 343 (04) : 249 - 252
[38] Local gradient estimates for solutions of a simplest regularization of a class of nonuniformly elliptic equations
Ladyzhenskaya O.A.
Uraltseva N.N.
Journal of Mathematical Sciences, 1997, 84 (1) : 862 - 872
[39] INTERIOR GRADIENT ESTIMATES FOR SOLUTIONS OF CERTAIN FULLY NONLINEAR ELLIPTIC-EQUATIONS
LI, YY
JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 90 (01) : 172 - 185
[40] Local Gradient Estimates of Solutions to Some Conformally Invariant Fully Nonlinear Equations
Li, Yanyan
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2009, 62 (10) : 1293 - 1326

← 1 2 3 4 5 →