Universidad Complutense de Madrid
E-Prints Complutense

On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings

Impacto

Descargas

Último año

Díaz Díaz, Jesús Ildefonso y Kawohl, B. (1993) On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings. Journal of Mathematical Analysis and Applications, 177 (1). pp. 263-286. ISSN 0022-247X

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 31 Diciembre 2020.

681kB

URL Oficial: http://www.sciencedirect.com/science/article/pii/S0022247X83712576




Resumen

"We consider some degenerate parabolic problems on a convex (or starshaped) ring. We prove that if the initial data have convex (or starshaped) level sets, then the solution u(t,⋅) has the same property for any positive t. Similar results are shown for the corresponding stationary problems. Our results imply in particular the convexity (or starshapedness) of certain free boundaries. Other nonlinear parabolic problems are also discussed.''


Tipo de documento:Artículo
Palabras clave:porous-medium equation; geometrical properties; obstacle problem; free-boundary; diffusion; stabilization; continuity; regularity; concavity; support
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:16178
Depositado:11 Sep 2012 07:28
Última Modificación:06 Feb 2014 10:39

Descargas en el último año

Sólo personal del repositorio: página de control del artículo