Geodesic
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions
Fuensanta Andreu1 ; José M. Mazón1 ; Julián Toledo2 ; N. Igbida3
1Universitat de Valencia, Burjassot (Valencia), Spain
2Universitat de València, Burjassot (Valencia), Spain
3Université de Picardie Jules Verne, Amiens, France
Interfaces and free boundaries, Tome 8 (2006) no. 4, pp. 447-479

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DOI

In this paper we prove existence and uniqueness of weak solutions for a general degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. Particular instances of this problem appear in various phenomena with changes of phase like multiphase Stefan problem and in the weak formulation of the mathematical model of the so called Hele Shaw problem. Also, the problem with non-homogeneous Neumann boundary condition is included.
DOI : 10.4171/ifb/151
Classification : 35-XX, 65-XX, 76-XX, 92-XX

Fuensanta Andreu  1   ; José M. Mazón  1   ; Julián Toledo  2   ; N. Igbida  3

1 Universitat de Valencia, Burjassot (Valencia), Spain
2 Universitat de València, Burjassot (Valencia), Spain
3 Université de Picardie Jules Verne, Amiens, France 
Fuensanta Andreu; José M. Mazón; Julián Toledo; N. Igbida. A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. Interfaces and free boundaries, Tome 8 (2006) no. 4, pp. 447-479. doi: 10.4171/ifb/151
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     title = {A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions},
     journal = {Interfaces and free boundaries},
     pages = {447--479},
     year = {2006},
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     number = {4},
     doi = {10.4171/ifb/151},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/151/}
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