NONEXISTENCE OF GLOBAL-SOLUTIONS OF SOME QUASI-LINEAR HYPERBOLIC-EQUATIONS WITH DYNAMIC BOUNDARY-CONDITIONS

被引：6

作者：

KIRANE, M

KOUACHI, S

TATAR, N

机构：

[1] UNIV ANNABA,INST MATH,ANNABA 23000,ALGERIA

[2] ECOLE NORMALE SUPER MECAN,OUM EL BOUAGHI,ALGERIA

来源：

MATHEMATISCHE NACHRICHTEN | 1995年 / 176卷

关键词：

D O I：

10.1002/mana.19951760111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the non-existence of global solutions of two fourth-order hyperbolic equations with dynamic boundary conditions is considered. The method of proof makes use of the generalized convexity method due to LADYZHENSKAYA and KALANTAROV [4].

引用

页码：139 / 147

页数：9

共 50 条

[41] A CATALOG OF THE EXTRA BOUNDARY-CONDITIONS FOR THE DIFFERENCE-SCHEMES APPROXIMATING THE HYPERBOLIC-EQUATIONS
SHOKIN, YI
KOMPANIETS, LA
COMPUTERS & FLUIDS, 1987, 15 (02) : 119 - 136
[42] SUFFICIENT CONDITIONS FOR THE LOCAL SOLVABILITY OF SOME QUASI-LINEAR EQUATIONS OF WEAKLY HYPERBOLIC TYPE
DANCONA, P
MANFRIN, R
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1994, 8B (03): : 731 - 754
[43] QUASI-LINEAR 2ND-ORDER ELLIPTIC-EQUATIONS WITH VENTTSEL BOUNDARY-CONDITIONS
LUO, YS
TRUDINGER, NS
POTENTIAL ANALYSIS, 1994, 3 (02) : 219 - 243
[44] EXISTENCE AND NONEXISTENCE OF GLOBAL-SOLUTIONS TO SOME NONLINEAR ELLIPTIC-PARABOLIC EQUATIONS
SOLTANOV, KN
DIFFERENTIAL EQUATIONS, 1993, 29 (04) : 550 - 563
[45] BOUNDARY-VALUE-PROBLEMS FOR MIXED PARABOLIC AND HYPERBOLIC-EQUATIONS WITH TIME DERIVATIVES IN THE BOUNDARY-CONDITIONS
DZHENALIEV, MT
DIFFERENTIAL EQUATIONS, 1992, 28 (04) : 537 - 540
[46] BOUNDARY-VALUE-PROBLEMS FOR WEAK SOLUTIONS OF A CLASS OF QUASI-LINEAR HYPERBOLIC INTEGRODIFFERENTIAL EQUATIONS
ENGLER, H
VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES AND APPLICATIONS, 1989, 190 : 111 - 140
[47] Nonexistence of positive solutions for a system of quasi-linear elliptic equations and inequalities in RN
Mitidieri, E
Pokhozhaev, SI
DOKLADY AKADEMII NAUK, 1999, 366 (01) : 13 - 17
[48] QUASI-LINEAR, PARABOLIC, INTEGRODIFFERENTIAL PROBLEMS WITH NONLINEAR OBLIQUE BOUNDARY-CONDITIONS
GARRONI, MG
VIVALDI, MA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (12) : 1089 - 1116
[49] QUASI-LINEAR PARABOLIC-SYSTEMS UNDER NONLINEAR BOUNDARY-CONDITIONS
AMANN, H
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1986, 92 (02) : 153 - 192
[50] EXPONENTIAL DECAY OF SOLUTIONS OF SOME QUASILINEAR HYPERBOLIC-EQUATIONS WITH LINEAR DAMPING
NISHIHARA, K
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1984, 8 (06) : 623 - 636

← 1 2 3 4 5 →