𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear degenerate parabolic equations with time dependent singular coefficients

✍ Scribed by S. Ahmetolan; S. Cavdar


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
169 KB
Volume
284
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


It is well-known that this inequality has a key role in the analysis of partial differential equations with singular coefficients. Moreover the nonexistence of positive solutions has strong connections with Hardy' s inequality.


πŸ“œ SIMILAR VOLUMES


Continuous Dependence on the Nonlinearit
✍ B Cockburn; G Gripenberg πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 176 KB

Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.

Extinction in Finite Time of Solutions t
✍ Su Ning πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 118 KB

This work concerns a nonlinear diffusion᎐absorption equation with nonlinear boundary flux. The main topic of interest is the problem of finite time extinction, i.e., the solutions vanish after a finite time. The sufficient and necessary conditions for occurrence of extinction are established. It is

Localization for a doubly degenerate par
✍ Zhaoyin Xiang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 215 KB

In this paper, we study the strict localization for the doubly degenerate parabolic equation with strongly nonlinear sources, We prove that, for non-negative compactly supported initial data, the strict localization occurs if and only if q m(p-1).

A numerical algorithm for nonlinear para
✍ Nils Svanstedt; Niklas Wellander; John Wyller πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 686 KB

A numerical algorithm is constructed for the solution to a class of nonlinear parabolic operators in the case of homogenization. We consider parabolic operators of the form 5 + A,, where A, is monotone. More precisely, we consider the case when d,u = -div ( a (t, sf lDulP-'Du) , where p 2 2 and k >