Clines and Material Interfaces with Nonlocal Interaction

Abstract

To Ivar Stakgold on the occasion of his 70th birthday. Abstract A natural nonlocal analog of the inhomogeneous nonlinear diiusion equation u t = r A(x)ru ? f(u; x) is the equation u t = R J(x; y ? x))u(y) ? u(x)]dy ? f(u; x), where J > 0. Under natural conditions on J and f, we establish here the existence of a spatially nonuniform stationary solution on… (More)

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@inproceedings{Fife1996ClinesAM, title={Clines and Material Interfaces with Nonlocal Interaction}, author={Paul C. Fife}, year={1996} }