2012•Advances in Difference EquationsOpen access

Existence of solutions to strongly damped quasilinear wave equations

Hong Luo, Limei Li, Tian Ma

Abstract

In this paper, we study the strongly damped quasilinear wave equation. By using spatial sequence techniques and energy estimate methods, we obtain the existence theorem of the solution to abstract a strongly damped wave equation and to a class of strongly damped quasilinear wave equations. MSC: 35L05, 35L20, 35D30, 35D35.

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Key concepts: Damped wave, Wave equation, Partial differential equation, Ordinary differential equation, Mathematics, Mathematical analysis, Class (philosophy), Energy (signal processing)