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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 14, Issue 1, Pages 11 - 22 (August 2014)

COMPARISON RESULTS FOR SMOOTH SOLUTIONS OF QUASILINEAR PARABOLIC EQUATIONS

Nicolau M. L. Diehl, Lucineia Fabris and Paulo R. Zingano

Abstract:

In this paper, we give a general derivation of fundamental comparison results for smooth solutions of hyperbolic/parabolic initial value problems such as

with positive semidefinite, under broad conditions on A, f, g,

Keywords and phrases:

comparison results, quasilinear parabolic equations, Cauchy problem, bounded solutions.

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P-ISSN: 0974-3243

E-ISSN: 3048-734X

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