Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : A nonlinear fourth-order parabolic equation in one space dimension with periodic boundary conditions is studied. This equation arises in the context of fluctuations of a stationary nonequilibrium interface and in the modeling of quantum semiconductor devices. The existence of global-in-time non-negative weak solutions is shown. A criterion for the uniqueness of non-negative weak solutions is given. Finally, it is proved that the solution converges exponentially fast to its mean value in the
 
 
A NONLINEAR FOURTH-ORDER PARABOLIC EQUATION AND RELATED LOGARITHMIC SOBOLEV INEQUALITIES
DOLBEAULT Jean, GENTIL Ivan, JÜNGEL Ansgar
2004-36
29-06-2004
 
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