Differential and Integral Equations
- Differential Integral Equations
- Volume 19, Number 12 (2006), 1391-1412.
On a pseudoparabolic problem with constraint
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.).
Differential Integral Equations, Volume 19, Number 12 (2006), 1391-1412.
First available in Project Euclid: 21 December 2012
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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