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On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws
Authors:Aubrey Truman
Institution:Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea SA2 8PP, UK
Abstract:In this paper we study the initial problem for a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws. The equation is driven by Lévy space-time white noise in the following form:
(tA)u+xq(u)=f(u)+g(u)Ft,x
Keywords:Stochastic nonlinear equations  Symmetric integro-differential operators    vy space-time white noise  Stochastic integral equations of jump type  Local existence and uniqueness
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