Life-span of classical solutions to one dimensional initial-boundary value problems for general quasilinear wave equations

被引：5

作者：

Han, Wei ^{[1
]}

机构：

[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期

基金：

中国国家自然科学基金;

关键词：

General quasi linear wave equations; Life-span; Initial-boundary value problem; BLOW-UP; NONEXISTENCE;

D O I：

10.1016/j.jmaa.2011.08.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying the initial-boundary value problem for one dimensional general quasilinear wave equations u(tt) - u(xx) = b(u, Du)u(xx) + 2a(0)(u, Du)u(tx) + F(u, Du) on exterior domain. We obtain the sharp lower bound of the life-span of classical solutions to the initial-boundary value problem with small initial data and zero boundary data for one dimensional general quasilinear wave equations. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：291 / 309

页数：19

共 50 条

[21] Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points
Hung, Nguyen Manh
Anh, Nguyen Thanh
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (07) : 1801 - 1818
[22] LIFE-SPAN OF CLASSICAL-SOLUTIONS TO FULLY NONLINEAR-WAVE EQUATIONS .2.
LI, TT
ZHOU, Y
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (09) : 833 - 853
[23] Estimates for the life-span of the solutions for some semilinear wave equations
Li, Meng-Rong
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2008, 7 (02) : 417 - 432
[24] An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations
Ye, Jueling
Guo, Houbin
Hu, Yanbo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 527 (01)
[25] LIFE-SPAN OF CLASSICAL SOLUTIONSTO QUASILINEAR HYPERBOLIC SYSTEMSWITH SLOW DECAY INITIAL DATALIFE-SPAN OF CLASSICAL SOLUTIONSTO QUASILINEAR HYPERBOLIC SYSTEMSWITH SLOW DECAY INITIAL DATA
KONG DEXING (Department of Applied Mathematics
ChineseAnnalsofMathematics, 2000, (04) : 413 - 440
[26] Life-Span of Classical Solutions to a Semilinear Wave Equation with Time-Dependent Damping
Fei, Guo
Jinling, Liang
Changwang, Xiao
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2023, 36 (03): : 235 - 261
[27] Classical Solution for Initial-Boundary Value Problem for Wave Equation with Integral Boundary Condition
Korzyuk, Victor
Erofeenko, Victor
Sheika, Julia
MATHEMATICAL MODELLING AND ANALYSIS, 2012, 17 (03) : 309 - 329
[28] On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave
Li, Dening
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2019, 16 (02) : 271 - 292
[29] Blow-up of solutions to the initial-boundary value problem for quasilinear hyperbolic systems of conservation laws
Shao, Zhi-Qiang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) : 716 - 740
[30] GLOBAL EXISTENCE OF CLASSICAL-SOLUTIONS TO THE INITIAL-BOUNDARY VALUE-PROBLEM OF THE SEMILINEAR WAVE-EQUATIONS WITH A DEGENERATE DISSIPATIVE TERM
NAKAO, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 15 (02) : 115 - 140

← 1 2 3 4 5 →