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On the solvability of a some non linear parabolic problems in the class of BV functions

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Publication Date
1996
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Padial Molina, Juan Francisco
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Akademie Verlag GMBH
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Abstract
In this comunication we present some results on the uniqueness and existence of BV solutions for the Cauchy-Dirichlet problem associated to the nonlinear diffusion equation b(u)(t) - div(\del u - k(b(u))e\(p-2)(del u - k(b(u))e)) + g(x,u) = f(t,x). This problem arises in the study of some turbulent regimes. The solvability, of this problem is established in BV spaces.
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3rd International Congress on Industrial and Applied Mathematics (ICIAM 95)
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