A nonlocal inhomogeneous dispersal process
Carmen Cortazar, Jerome Coville, Manuel Elgueta, and Salome Martinez
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Submission date: 21. Mar. 2007
published in: Journal of differential equations, 241 (2007) 2, p. 332-358
DOI number (of the published article): 10.1016/j.jde.2007.06.002
MSC-Numbers: 47G20, 45K05, 35K90, 35M99
Keywords and phrases: integral equation, non local dispersal, inhomogeneous dispersal
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This article in devoted to the the study of the nonlocal dispersal equation
and its stationary counterpart. We prove global existence for the initial value problem, and under suitable hypothesis on g and J, we prove that positive bounded stationary solutions exist. We also analyze the asymptotic behavior of the finite mass solutions as , showing that they converge locally to zero.