By Angelo Favini,Gabriela Marinoschi

the purpose of those notes is to incorporate in a uniform presentation variety a number of subject matters on the topic of the idea of degenerate nonlinear diffusion equations, taken care of within the mathematical framework of evolution equations with multivalued m-accretive operators in Hilbert areas. the issues crisis nonlinear parabolic equations regarding situations of degeneracy. extra accurately, one case is because of the vanishing of the time spinoff coefficient and the opposite is equipped through the vanishing of the diffusion coefficient on subsets of optimistic degree of the domain.
From the mathematical perspective the consequences provided in those notes may be regarded as common leads to the idea of degenerate nonlinear diffusion equations. even if, this paintings doesn't search to give an exhaustive examine of degenerate diffusion equations, yet really to stress a few rigorous and effective strategies for imminent numerous difficulties concerning degenerate nonlinear diffusion equations, similar to well-posedness, periodic suggestions, asymptotic behaviour, discretization schemes, coefficient identity, and to introduce suitable fixing tools for every of them.

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Degenerate Nonlinear Diffusion Equations (Lecture Notes in Mathematics) by Angelo Favini,Gabriela Marinoschi

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