Periodic solutions of a quasilinear wave equation with homogeneous boundary conditions

Authors :: I. A. Rudakov
Source :: Journal of Mathematical Sciences. 150:2588-2597
Publication Year :: 2008
Publisher :: Springer Science and Business Media LLC, 2008.
Abstract: In this paper, we prove the existence of time-periodic weak solutions for the wave equation with homogeneous boundary conditions. This paper deals with the cases where a nonlinear term has a superlinear and sublinear growth.

Subjects :: Statistics and Probability
Electromagnetic wave equation
Helmholtz equation
Eikonal equation
Applied Mathematics
General Mathematics
Wave packet
Mathematical analysis
Mixed boundary condition
Boundary value problem
Wave equation
Poincaré–Steklov operator
Mathematics

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