On Stochastic Evolution Equations with non-Lipschitz Coefficients

Details On Stochastic Evolution Equations with non-Lipschitz Coefficients On Stochastic Evolution Equations with non-Lipschitz Coefficients

2007-03-09

arxiv.org/abs/math/0703260v2

Mathematics

Probability

Add two applications and correct some errors

Scientific paper

In this paper, we study the existence and uniqueness of solutions for several classes of stochastic evolution equations with non-Lipschitz coefficients, that is, backward stochastic evolution equations, stochastic Volterra type evolution equations and stochastic functional evolution equations. In particular, the results can be used to treat a large class of quasi-linear stochastic equations, which includes the reaction diffusion and porous medium equations.

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