Existence and Nonuniqueness of Weak Solutions for a Degenerate Diffusion Equation

Existence and Nonuniqueness of Weak Solutions for a Degenerate Diffusion Equation

Year:    2005

Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 3 : pp. 267–286

Abstract

In this paper, we prove the existence and nonuniqueness of the weak solutions of the initial and boundary value problem for a nonlinear degenerate parabolic equation not in divergence form. Localization property of weak solutions will be also discussed.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JPDE-5362

Journal of Partial Differential Equations, Vol. 18 (2005), Iss. 3 : pp. 267–286

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Divergence form