Critical Fujita Exponent for the Porous Medium Equation in RN with hole

被引：0

作者：

Zhou, Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2020年 / 27卷 / 02期

关键词：

Porous medium equation; Convection; Critical Fujita exponent; Blow-up; DEGENERATE PARABOLIC-SYSTEM; BLOW-UP; GLOBAL EXISTENCE; HEAT-EQUATIONS; WAVE-EQUATIONS; CAUCHY-PROBLEM; DOMAINS; BEHAVIOR;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the large time behavior of solutions to the Neumann Problem of the porous medium equation. It is shown that the critical Fujita exponent is determined not only by the spatial dimension and the nonlinear exponent, but also by the coefficient k of the first-order term.

引用

页码：299 / 319

页数：21

共 50 条

[41] The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg group
Borikhanov, Meiirkhan B.
Ruzhansky, Michael
Torebek, Berikbol T.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (03) : 3794 - 3810
[42] Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity
Li, Fengjie
Liu, Jiaqi
APPLICABLE ANALYSIS, 2022, 101 (18) : 6411 - 6434
[43] THE EXISTENCE AND NODAL CHARACTER OF THE SOLUTIONS IN RN FOR SEMILINEAR ELLIPTIC EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT
DENG, YB
ACTA MATHEMATICA SCIENTIA, 1989, 9 (04) : 385 - 402
[44] Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN
Marcio F Chaves
Grey Ercole
Olimpio H Miyagaki
Boundary Value Problems, 2014
[45] Existence of a nontrivial solution for a (p, q)-Laplacian equation with p-critical exponent in RN
Chaves, Marcio F.
Ercole, Grey
Miyagaki, Olimpio H.
BOUNDARY VALUE PROBLEMS, 2014, : 1 - 15
[46] EXISTENCE AND MULTIPLICITY FOR PERTURBATIONS OF AN EQUATION INVOLVING A HARDY INEQUALITY AND THE CRITICAL SOBOLEV EXPONENT IN THE WHOLE OF RN
Abdellaoui, B.
Peral, I.
Felli, V.
ADVANCES IN DIFFERENTIAL EQUATIONS, 2004, 9 (5-6) : 481 - 508
[47] CRITICAL FUJITA EXPONENT FOR THE DIFFUSION EQUATION IN TRANSPARENT MEDIA WITH SOURCE HAVING POWER-LIKE NON-LINEARITIES
Mazon, J. M.
ADVANCES IN DIFFERENTIAL EQUATIONS, 2013, 18 (3-4) : 243 - 264
[48] A NOTE ON AN EQUATION WITH CRITICAL EXPONENT
DANCER, EN
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1988, 20 : 600 - 602
[49] On the Fujita Exponent for a Hardy–Hénon Equation with a Spatial–Temporal Forcing Term
Majdoub M.
La Matematica, 2023, 2 (2): : 340 - 361
[50] Solutions for a Kirchhoff type problem with critical exponent in RN
Zhou, Fen
Yang, Minbo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 494 (02)

← 1 2 3 4 5 →