Solutions with compact support of certain semilinear problems.

Jesús Ildefonso Díaz Díaz

Collectanea Mathematica (1979)

  • Volume: 30, Issue: 2, page 141-179
  • ISSN: 0010-0757

Abstract

top
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.

How to cite

top

Díaz Díaz, Jesús Ildefonso. "Soluciones con soporte compacto para ciertos problemas semilineales.." Collectanea Mathematica 30.2 (1979): 141-179. <http://eudml.org/doc/41483>.

@article{DíazDíaz1979,
author = {Díaz Díaz, Jesús Ildefonso},
journal = {Collectanea Mathematica},
keywords = {Análisis de funciones; Ecuaciones diferenciales ordinarias; solutions with compact support; semilinear elliptic problems; maximal monotone graphs; finite propagation speed; evolution problems},
language = {spa},
number = {2},
pages = {141-179},
title = {Soluciones con soporte compacto para ciertos problemas semilineales.},
url = {http://eudml.org/doc/41483},
volume = {30},
year = {1979},
}

TY - JOUR
AU - Díaz Díaz, Jesús Ildefonso
TI - Soluciones con soporte compacto para ciertos problemas semilineales.
JO - Collectanea Mathematica
PY - 1979
VL - 30
IS - 2
SP - 141
EP - 179
LA - spa
KW - Análisis de funciones; Ecuaciones diferenciales ordinarias; solutions with compact support; semilinear elliptic problems; maximal monotone graphs; finite propagation speed; evolution problems
UR - http://eudml.org/doc/41483
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.