A New Proof and an Extension of a Theorem of P. Rabinowitz Concerning Nonlinear Wave Equations.
Abstract
In 1978, P. Rabinowitz proved a theorem concerned with the existence of a nontrivial periodic solution of a nonlinear wave equation with a continuous increasing superlinear nonlinear term. In this paper we present a new and simpler proof of this theorem and relax an assumption on the nonlinear term, which is a discontinuous nondecreasing function. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1980
- Accession Number
- ADA096670
Entities
People
- G. C. Dong
- Kai-Chi Chang
- S. Li
Organizations
- University of Wisconsin–Madison