Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma

Details Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma

2011-03-14

arxiv.org/abs/1103.2715v2

Mathematics

Probability

21 pages

Scientific paper

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.

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