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On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws |
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| Authors: | Aubrey Truman |
| Affiliation: | 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: (t∂−A)u+x∂q(u)=f(u)+g(u)Ft,x |
| Keywords: | Stochastic nonlinear equations Symmetric integro-differential operators Lé vy space-time white noise Stochastic integral equations of jump type Local existence and uniqueness |
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