Title of article
On existence and nonexistence of global solutions of Cauchy–Goursat problem for nonlinear wave equations
Author/Authors
O. Jokhadze، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
13
From page
1033
To page
1045
Abstract
We consider the Cauchy–Goursat initial characteristic problem for nonlinear wave equations with power nonlinearity. Depending
on the power of nonlinearity and the parameter in an equation we investigate the problem on existence and nonexistence of global
solutions of the Cauchy–Goursat problem. The question on local solvability of the problem is also considered.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Cauchy–Goursat problem , Global and local solvability , blow-up , nonlinear wave equations
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936809
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