𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of solutions of the very fast diffusion equation

✍ Scribed by Kin Ming Hui


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
400 KB
Volume
58
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Singular limit of solutions of the very
✍ Kin Ming Hui πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 555 KB

We prove that the distribution solutions of the very fast diffusion equation βˆ‚u/βˆ‚t = βˆ†(u m /m), u > 0, in R n Γ— (0, ∞), u(x, 0) = u 0 (x) in R n , where m < 0, n β‰₯ 2, constructed in [P. Daskalopoulos, M.A. Del Pino, On nonlinear parabolic equations of very fast diffusion, Arch. Ration. Mech. Anal. 1

Existence and Non-existence of a Fast Di
✍ Yuan-Wei Qi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 299 KB

In this paper we study the global existence and asymptotic behaviour of solutions to u t =2 log u for the Cauchy initial value problem in R n . We prove that if n 3, then every solution satisfies R n u p (x, t) dx= for any 1< p nΓ‚2, where 0nΓ‚2. Hence, we extend a previous result of Vazquez [19] whic

Numerical solution of fast diffusion or
✍ Marie-NoΓ«lle Le Roux πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 722 KB

In this paper, the author proposes a semi-discretization in time of a nonlinear reaction diffusion equation (fast or slow diffusion), the solution of which may vanish or blow up in a finite time. The approximate value at each time step is solution of a nonlinear equation which is solved by using an