Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma
Probability
2011-07-22 v2
Abstract
In this paper we are concerned with the stochastic partial differential equations of super-fast diffusion processes describing behavior of plasma dX(t)-{\Delta}ln(X(t)+1)dt=\surd(Q)dW(t), in (0,T)\timesO, where O is a bounded open subset of R. We define a strong solution adequate to the properties of the natural logarithm and we prove the corresponding existence and uniqueness result.
Keywords
Cite
@article{arxiv.1103.2715,
title = {Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma},
author = {Ioana Ciotir},
journal= {arXiv preprint arXiv:1103.2715},
year = {2011}
}
Comments
21 pages