The Continuous Dependence on psi of Solutions of u sub t - (delta)psi(u) = O.
Abstract
The initial-value problem for equations of the form u sub t - (delta)psi(u) = O where psi:R approaches R is nondecreasing arises in many contexts. The main results of this paper concern the continuity of the solutions of this initial-value problem as a function of psi. Depending on the behavior of psi near zero, one finds either that the solutions are continuous as a function of psi or into a weaker space. A variety of auxiliary results are proved and the sharpness of the condition which distinguishes between the above cases is established. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1979
- Accession Number
- ADA070179
Entities
People
- Michael G. Crandall
- Philippe Benilan
Organizations
- University of Wisconsin–Madison