Solutions with compact support of certain semilinear problems
ISSN: 0010-0757
Year of publication: 1979
Volume: 30
Fascicle: 2
Pages: 141-179
Type: Article
More publications in: Collectanea mathematica
Abstract
In this paper we prove that some classes of semilinear elliptic problems, formulated in very general terms by using the theory of maximal monotone graphs, admit a finite propagation speed. More concretely we show that if the data of these problems have compact supports, then the same happens to their solutions. These same thechniques will also be applied to some evolution problems. The first results in this direction are due to H. Brézis and to O. Oleinik & A. S. Kalashnikov & C. Yuilin respectively