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Abstract and Applied Analysis 
Volume 3 (1998), Issue 1-2, Pages 171-180
doi:10.1155/S1085337598000499

Rotationally invariant periodic solutions of semilinear wave equations

Martin Schechter

Department of Mathematics, University of California Irvine, Irvine 92717, CA, USA

Received 11 February 1998

Abstract

Under suitable conditions we are able to solve the semilinear wave equation in any dimension. We are also able to compute the essential spectrum of the linear wave operator for the rotationally invariant periodic case.