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A Strongly Degenerate Quasilinear Equation: the Parabolic Case |
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| Authors: | Fuensanta?Andreu,Vicent?Caselles,José M.?Mazón author-information" > author-information__contact u-icon-before" > mailto:mazon@uv.es" title=" mazon@uv.es" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Dept. de Análisis Matemático, Universitat de Valencia, 46100 Burjassot (Valencia);(2) Dept. de Tecnologia, Universitat Pompeu-Fabra, Passeig de Circumvalacio 8, 08003 Barcelona |
| Abstract: | We prove the existence and uniqueness of entropy solutions of the Neumann problem for the quasilinear parabolic equation ut=÷ a(u, Du), where a(z, )= f(z,), and f is a convex function of with linear growth as ||||  , satisfying other additional assumptions. In particular, this class includes the case where f(z,)= (z) (), >0, and is a convex function with linear growth as ||||. |
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