A Trotter type result for the stochastic porous media equations
β Scribed by Ioana Ciotir
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 575 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper proves the continuous dependence with respect to diffusivity of the solutions to stochastic porous media equations with noncoercive monotone diffusivity functions and multiplicative noise.
π SIMILAR VOLUMES
## Abstract The initialβboundary value problem in a semiβinfinite strip (0, β)Γ(0, __T__) for a degenerate parabolic equation of the form __u__, ~t~= Ο(__u__)~__xx__~ + __b__(__x__)Ο(__u__)~__x__~ is considered. The properties of solutions in the case where the initial function is compactly support
The main aim of this note is to improve some results obtained in the author's earlier paper (1999, J. Math. Anal. Appl. 236, 350-369). From the improved result follow some useful criteria on the stochastic asymptotic stability and boundedness.