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

[21] GRADIENT ESTIMATES FOR ENTROPY SOLUTIONS TO ELLIPTIC EQUATIONS WITH DEGENERATE COERCIVITY
Zhang, Jiaxiang
Hongya, Hongya
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (01) : 275 - 284
[22] Gradient and Holder estimates for positive solutions of Pucci type equations
Dolcetta, Italo Capuzzo
Vitolo, Antonio
COMPTES RENDUS MATHEMATIQUE, 2008, 346 (9-10) : 527 - 532
[23] Hölder Regularity for Solutions of Ultraparabolic Equations in Divergence Form
Sergio Polidoro
Maria Alessandra Ragusa
Potential Analysis, 2001, 14 : 341 - 350
[24] A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations
Pascucci, A
Polidoro, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (01) : 396 - 409
[25] Gradient estimates of very weak solutions to general quasilinear elliptic equations
Byun, Sun -Sig
Lim, Minkyu
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 283 (10)
[26] Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients
Yan Yan Li
Michael Vogelius
Archive for Rational Mechanics and Analysis, 2000, 153 : 91 - 151
[27] Lq interior estimates of the gradient for weak solutions of quasilinear elliptic equations
Yao, Feng Ping
Cai, Yong Yong
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (12) : 2225 - 2234
[28] Gradient estimates for viscosity solutions of singular fully nonlinear elliptic equations
Montenegro, Marcelo
Teixeira, Eduardo V.
JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (02) : 428 - 452
[29] Lq Interior Estimates of the Gradient for Weak Solutions of Quasilinear Elliptic Equations
Feng Ping Yao
Yong Yong Cai
Acta Mathematica Sinica, English Series, 2007, 23 : 2225 - 2234
[30] Lower bound gradient estimates for solutions of Schrodinger equations and heat kernels
Bañuelos, R
Pang, MMH
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (3-4) : 499 - 543

← 1 2 3 4 5 →