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2020 Well-posedness and Long-time Behaviour for a Nonlinear Parabolic Equation with Hysteresis
Achille Landri Pokam Kakeu, Jean Louis Woukeng
Commun. Math. Anal. 23(1): 38-62 (2020).

Abstract

The work deals with a study of a nonlinear parabolic equation with hysteresis, containing a nonlinear monotone operator in the diffusion term. The well-posedness of the model equation is addressed by using an implicit time discretization scheme in conjunction with the piecewise monotonicity of the hysteresis operator, and a fundamental inequality due to M. Hilpert. A characterization of the $\omega$-limit set of the solution is then given through the study of the long-time behaviour of the solution of the equation in which we investigate the convergence of trajectories to limit points.

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Achille Landri Pokam Kakeu. Jean Louis Woukeng. "Well-posedness and Long-time Behaviour for a Nonlinear Parabolic Equation with Hysteresis." Commun. Math. Anal. 23 (1) 38 - 62, 2020.

Information

Published: 2020
First available in Project Euclid: 19 June 2020

MathSciNet: MR4103524

Subjects:
Primary: 47J10, 74N30

Rights: Copyright © 2020 Mathematical Research Publishers

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Vol.23 • No. 1 • 2020
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