Strong solutions of a class of fully nonlinear degenerate parabolic equations

被引：1

作者：

Li, Jing ^{[1
]}

Yin, Jingxue ^{[2
]}

Jin, Chunhua ^{[2
]}

机构：

[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 08期

关键词：

fully nonlinear; degenerate; parabolic; blow-up; global existence; CRITICAL EXPONENTS; BLOW-UP; SEMIGROUPS;

D O I：

10.1002/mma.3617

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the Cauchy problem of a class of fully nonlinear degenerate parabolic equations with reaction sources. After establishing the necessary local existence theorems of strong solutions, we investigate the blow-up and global existence profile. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：2025 / 2037

页数：13

共 50 条

[1] Classical solutions for a class of fully nonlinear degenerate parabolic equations
Yin, Jingxue
Li, Jing
Jin, Chunhua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 360 (01) : 119 - 129
[2] On the existence of nonnegative continuous solutions for a class of fully nonlinear degenerate parabolic equations
Li, Jing
Yin, Jingxue
Jin, Chunhua
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2010, 61 (05): : 835 - 847
[3] On the existence of nonnegative continuous solutions for a class of fully nonlinear degenerate parabolic equations
Jing Li
Jingxue Yin
Chunhua Jin
Zeitschrift für angewandte Mathematik und Physik, 2010, 61 : 835 - 847
[4] Wavefront solutions for a class of nonlinear highly degenerate parabolic equations
Cantarini, Marco
Marcelli, Cristina
Papalini, Francesca
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 332 : 278 - 305
[5] On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations
Tilak Bhattacharya
Leonardo Marazzi
Revista Matemática Complutense, 2017, 30 : 621 - 656
[6] On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations
Bhattacharya, Tilak
Marazzi, Leonardo
REVISTA MATEMATICA COMPLUTENSE, 2017, 30 (03): : 621 - 656
[7] Behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form
Wang, Jian
APPLIED MATHEMATICS LETTERS, 2011, 24 (02) : 191 - 195
[8] The asymptotic behavior of solutions for a class of doubly degenerate nonlinear parabolic equations
Zhan, Huashui
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (01) : 1 - 10
[9] Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations
Jakobsen, ER
Karlsen, KH
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 183 (02) : 497 - 525
[10] Boundary regularity for viscosity solutions of fully nonlinear degenerate/singular parabolic equations
Lee, Ki-Ahm
Yun, Hyungsung
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2025, 64 (01)

← 1 2 3 4 5 →