On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations

被引：0

作者：

S Kharibegashvili

机构：

[1] Georgian Academy of Sciences,A. Razmadze Mathematical Institute

来源：

Boundary Value Problems | / 2005卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of the Cauchy characteristic problem in the light cone of the future.

引用

共 50 条

[41] The existence of global solutions to the Cauchy problem for discrete kinetic equations (nonperiodic case)
Radkevich E.V.
Journal of Mathematical Sciences, 2012, 184 (4) : 524 - 556
[42] THE STABILITY OF THE SOLUTIONS OF CAUCHY PROBLEM AND THE MIXED PROBLEM FOR HYPERBOLIC EQUATIONS
GELIG, AK
DOKLADY AKADEMII NAUK SSSR, 1958, 123 (04): : 591 - 594
[43] Cauchy problem for nonlinear hyperbolic equations with discontinuous data
Fang, Daoyuan
Nonlinear Analysis, Theory, Methods & Applications, 1995, 24 (05):
[44] The Cauchy problem for nonlinear hyperbolic equations with Levi condition
Cicognani, M
Zanghirati, L
BULLETIN DES SCIENCES MATHEMATIQUES, 1999, 123 (06): : 413 - 435
[45] The Cauchy Problem for Coupled Nonlinear Schrdinger Equations with Linear Damping: Local and Global Existence and Blowup of Solutions
Joo-Paulo DIAS
Mrio FIGUEIRA
Vladimir V.KONOTOP
ChineseAnnalsofMathematics,SeriesB, 2016, (05) : 665 - 682
[46] The cauchy problem for coupled nonlinear Schrödinger equations with linear damping: Local and global existence and blowup of solutions
João-Paulo Dias
Mário Figueira
Vladimir V. Konotop
Chinese Annals of Mathematics, Series B, 2016, 37 : 665 - 682
[47] Global behavior of the Cauchy problem for some critical nonlinear parabolic equations
Crespo, JAA
Alonso, IP
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 31 (06) : 1270 - 1294
[48] CAUCHY-PROBLEM FOR QUASILINEAR EQUATIONS OF HYPERBOLIC TYPE (EXISTENCE OF GLOBAL SOLUTION) .2.
ALIEV, AB
IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1980, (06): : 3 - 7
[49] GLOBAL SOLUTION OF THE CAUCHY-PROBLEM FOR A CLASS OF ABSTRACT NONLINEAR HYPERBOLIC-EQUATIONS
DANCONA, P
ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 151 : 18 - 38
[50] CAUCHY-PROBLEM FOR QUASILINEAR EQUATIONS OF HYPERBOLIC TYPE (AN EXISTENCE OF GLOBAL SOLUTION) .1.
ALIEV, AB
IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK, 1980, (05): : 15 - 20

← 1 2 3 4 5 →