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2014 Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation
Ning Su, Li Zhang
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/567241

Abstract

We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+uft in V, t0, T, where V is a real reflexive Banach space, 𝒜 and are maximal monotone operators (possibly multivalued) from V to its dual V. In view of some practical applications, we assume that 𝒜 and are subdifferentials. By using the back difference approximation, existence is established, and our proof relies on the continuity of 𝒜 and the coerciveness of . As an application, we give the existence for a nonlinear degenerate parabolic equation.

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Ning Su. Li Zhang. "Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/567241

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131694
MathSciNet: MR3200843
Digital Object Identifier: 10.1155/2014/567241

Rights: Copyright © 2014 Hindawi

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