Impacto
Downloads
Downloads per month over past year
Díaz Díaz, Jesús Ildefonso and 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
![[thumbnail of 111.pdf]](/style/images/fileicons/application_pdf.png) |
PDF
Restringido a Repository staff only 681kB |
Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X83712576
Abstract
"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.''
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | porous-medium equation; geometrical properties; obstacle problem; free-boundary; diffusion; stabilization; continuity; regularity; concavity; support |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 16178 |
| Deposited On: | 11 Sep 2012 07:28 |
| Last Modified: | 12 Dec 2018 15:08 |
Origin of downloads
Repository Staff Only: item control page
