Large Amplitude Time Periodic Solutions of a Semilinear Wave Equation.
Abstract
This paper studies the existence of periodic solutions for a family of semilinear wave equations where the restoring force is independent of time, monotone, and grows at a more rapid rate than linear near infinity. With appropriate technical assumptions it is shown that there is an unbounded sequence of such free vibrations, i.e. there are solutions of arbitrarily large amplitude. If the restoring force is independent of x, the monotonicity assumption can be omitted.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1982
- Accession Number
- ADA125257
Entities
People
- Paul Rabinowitz
Organizations
- University of Wisconsin–Madison