The Behavior of Spherically Symmetric Equilibria Near Infinity.
Abstract
The study of the radially symmetric equilibria of a non-linear diffusion equation in several space dimensions leads to an ordinary differential equation. Under the hypotheses that the reaction terms are in gradient form, conditions are found which imply that solutions are asymptotically constant at infinity. As an application it is shown that the all spherically symmetric solutions of the sine-Gordon equation are asymptotically constant (and consequently bounded). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1980
- Accession Number
- ADA093631
Entities
People
- C. Conley
Organizations
- University of Wisconsin–Madison