Title: The boundary value problem for wave equations with nonlinear dissipative and source terms

Authors: S. Kharibegashvili, O. Jokhadze

Addresses: Georgian Technical University, 77, M. Kostava Str., 0175, Tbilisi, Georgia; A. Razmadze Mathematical Institute, 1, M. Aleksidze Str., 0193, Tbilisi, Georgia. ' I. Javakhishvili Tbilisi State University, 2, University Str., 0186, Tbilisi, Georgia; A. Razmadze Mathematical Institute, 1, M. Aleksidze Str., 0193, Tbilisi, Georgia

Abstract: The boundary value problem for wave equations with nonlinear dissipative and source terms in an angular domain is considered. The questions of existence and non-existence of global and blow-up solutions of considering problem are investigated for some values of parameters in the nonlinear terms and the right-hand side of given equations. The uniqueness, local and global existence and blow-up of solutions of the problem mentioned are investigated.

Keywords: nonlinear wave equations; BVP; boundary value problem; global solvability; local solvability; blow-up solutions; dissipative terms; source terms.

DOI: 10.1504/IJDSDE.2011.041879

International Journal of Dynamical Systems and Differential Equations, 2011 Vol.3 No.3, pp.328 - 348

Published online: 24 Jan 2015 *

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