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.
@article{urn:eudml:doc:41483,
title = {Soluciones con soporte compacto para ciertos problemas semilineales.},
journal = {Collectanea Mathematica},
volume = {30},
year = {1979},
pages = {141-179},
zbl = {0449.35037},
mrnumber = {MR0578547},
language = {es},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41483}
}
Díaz Díaz, Jesús Ildefonso. Soluciones con soporte compacto para ciertos problemas semilineales.. Collectanea Mathematica, Tome 30 (1979) pp. 141-179. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41483/