Elliptic and parabolic Robin problems on Lipschitz domains: Hlder continuity of solutions of elliptic problems and generation of,Used

Elliptic and parabolic Robin problems on Lipschitz domains: Hlder continuity of solutions of elliptic problems and generation of,Used

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SKU: DADAX3838118987
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
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The author studies regularity of quasilinear elliptic and parabolic equations with Robin boundary conditions on Lipschitz domains. He shows that solutions of elliptic problems with Neumann boundary conditions are Hlder continuous up to the boundary under very mild assumptions which resemble the optimal assumptions for interior Hlder regularity. Using the result for Neumann problems, the author obtains global Hlder regularity also for Robin problems. Finally, the elliptic results are used to show that the corresponding operator on the space of continuous functions is maccretive and thus generates a strongly continuous nonlinear semigroup.

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