On a pseudoparabolic problem with constraint
S. N. Antont︠s︡ev, Gérard Gagneux, Robert Luce, Guy Vallet · Differential and Integral Equations · 2006
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.).