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- W2016014384 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 ) F t , x for u : ( t , x ) ∈ ( 0 , ∞ ) × R ↦ u ( t , x ) ∈ R , where A is an integro-differential operator associated with a symmetric, nonlocal, regular Dirichlet form, and F t , x stands for a Lévy space–time white noise. The problem is interpreted as a stochastic integral equation of jump type involving certain convolution kernels. Existence of a unique local (in time) L 2 ( R ) -valued solution is obtained." @default.
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- W2016014384 date "2006-09-01" @default.
- W2016014384 modified "2023-10-18" @default.
- W2016014384 title "On a stochastic nonlinear equation arising from 1D integro-differential scalar conservation laws" @default.
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- W2016014384 doi "https://doi.org/10.1016/j.jfa.2006.01.012" @default.
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