Time Periodic Solutions of A Semilinear Wave Equation

Abstract

Publisher Summary This chapter discusses time periodic solutions of a semilinear wave equation. It discusses a result for the problem of finding time-periodic solutions of a specific semilinear wave equation. The chapter presents a theorem whose proof relies on the minimax existence techniques from the calculus of variations and regularity arguments from the theory of elliptic partial differential equations. A few remarks are about the statement of the theorem and some generalizations. The definition of a superlinear function is also presented in the chapter.