Displaying similar documents to “ L 1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions”

Compact embeddings of Besov spaces involving only slowly varying smoothness

António Caetano, Amiran Gogatishvili, Bohumír Opic (2011)

Czechoslovak Mathematical Journal

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We characterize compact embeddings of Besov spaces B p , r 0 , b ( n ) involving the zero classical smoothness and a slowly varying smoothness b into Lorentz-Karamata spaces L p , q ; b ¯ ( Ω ) , where Ω is a bounded domain in n and b ¯ is another slowly varying function.

Convergent semidiscretization of a nonlinear fourth order parabolic system

Ansgar Jüngel, René Pinnau (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A semidiscretization in time of a fourth order nonlinear parabolic system in several space dimensions arising in quantum semiconductor modelling is studied. The system is numerically treated by introducing an additional nonlinear potential. Exploiting the stability of the discretization, convergence is shown in the multi-dimensional case. Under some assumptions on the regularity of the solution, the rate of convergence proves to be optimal.