A quasi-boundary value method for regularizing nonlinear ill-posed problems.
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Trong, Dang Duc, Quan, Pham Hoang, Tuan, Nguyen Huy (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Christian Heinemann, Christiane Kraus (2014)
Mathematica Bohemica
This paper addresses analytical investigations of degenerating PDE systems for phase separation and damage processes considered on nonsmooth time-dependent domains with mixed boundary conditions for the displacement field. The evolution of the system is described by a degenerating Cahn-Hilliard equation for the concentration, a doubly nonlinear differential inclusion for the damage variable and a quasi-static balance equation for the displacement field. The analysis is performed on a time-dependent...
Carole Rosier, Lionel Rosier (2004)
Banach Center Publications
Results on the global existence and uniqueness of variational solutions to an elliptic-parabolic problem occurring in statistical mechanics are provided.
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