Differential and Integral Equations

On a pseudoparabolic problem with constraint

Stanislav N. Antontsev, Gérard Gagneux, Robert Luce, and Guy Vallet

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Abstract

This work deals with the study of a nonlinear degenerate pseudoparabolic problem. Arising from the modelling of sedimentary basin formation, the equation degenerates in order to take implicitly into account a constraint on the time derivative of the unknown. An existence result of a solution with an adapted compactness result and qualitative properties of the solutions are proposed (localization, finite speed of propagation, etc.).

Article information

Source
Differential Integral Equations, Volume 19, Number 12 (2006), 1391-1412.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356050295

Mathematical Reviews number (MathSciNet)
MR2279334

Zentralblatt MATH identifier
1212.35261

Subjects
Primary: 35K70: Ultraparabolic equations, pseudoparabolic equations, etc.
Secondary: 35Q35: PDEs in connection with fluid mechanics 35R35: Free boundary problems 86A60: Geological problems

Citation

Antontsev, Stanislav N.; Gagneux, Gérard; Luce, Robert; Vallet, Guy. On a pseudoparabolic problem with constraint. Differential Integral Equations 19 (2006), no. 12, 1391--1412. https://projecteuclid.org/euclid.die/1356050295


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