Nonlinear Diffusion Equations and Their Equilibrium States II
Broschiertes Buch

Nonlinear Diffusion Equations and Their Equilibrium States II

Proceedings of a Microprogram held August 25-September 12, 1986

Herausgegeben von Ni, W.-M.; Peletier, L.A.; Serrin, James
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In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = ~U + f(u). Here ~ denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium ~...