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1995 On a class of implicit evolution variational inequalities
Pierluigi Colli, Giuseppe Savaré
Differential Integral Equations 8(8): 2097-2124 (1995).

Abstract

The initial value problem is studied for a parabolic variational inequality where the constraints are imposed on the time derivative of the solution and with a nonlinear right hand side. The existence of a solution is established under rather general conditions on the nonlinearity, while uniqueness and regularity properties are deduced in a more restrictive setting. An approximation via finite differences in time is presented and convergence results along with error estimates are proved. Applications of the model problem are given in the framework of nonlinear partial differential equations and systems.

Citation

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Pierluigi Colli. Giuseppe Savaré. "On a class of implicit evolution variational inequalities." Differential Integral Equations 8 (8) 2097 - 2124, 1995.

Information

Published: 1995
First available in Project Euclid: 20 May 2013

zbMATH: 0844.35058
MathSciNet: MR1348967

Subjects:
Primary: 34G20
Secondary: 35K85, 49J40

Rights: Copyright © 1995 Khayyam Publishing, Inc.

JOURNAL ARTICLE
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Vol.8 • No. 8 • 1995
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