## Abstract In this paper, we consider the oscillation of the nonlinear differential equation We obtain a new sufficient condition for any nonoscillatory solution __y__(__t__) of the above equation satisfying lim inf~__t__ββ~ |__y__(__t__)| = 0. (Β© 2005 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
A numerical algorithm for nonlinear parabolic equations with highly oscillating coefficients
β Scribed by Nils Svanstedt; Niklas Wellander; John Wyller
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 686 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
β¦ Synopsis
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 > 0.
π SIMILAR VOLUMES
## Abstract We consider the problem of numerically approximating statistical moments of the solution of a timeβdependent linear parabolic partial differential equation (PDE), whose coefficients and/or forcing terms are spatially correlated random fields. The stochastic coefficients of the PDE are a
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).