Kód: 07027626
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 Hölder continuou ... celý popis
Nákupom získate 223 bodov
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 Hölder continuous up to the boundary under very mild assumptions which resemble the optimal assumptions for interior Hölder regularity. Using the result for Neumann problems, the author obtains global Hölder 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.
Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis
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