Elliptic and parabolic Robin problems on Lipschitz domains

Elliptic and parabolic Robin problems on Lipschitz domains
Автор
 
Год
 
Страниц
 
132
ISBN
 
9783838118987
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Описание:

The author studies regularity of quasi-linear elliptic and parabolic equations with Robin boundary conditions on Lipschitz domains. He shows that solutions of elliptic problems with Neumann boundary conditions are Holder continuous up to the boundary under very mild assumptions which resemble the optimal assumptions for interior Holder regularity. Using the result for Neumann problems, the author obtains global Holder regularity also for Robin problems. Finally, the elliptic results are used to show that the corresponding operator on the space of continuous functions is m-accretive and thus generates a strongly continuous nonlinear semigroup.

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