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Elliptic Regularity Theory by Approximation Methods
Engelsk
Bogcover for Elliptic Regularity Theory by Approximation Methods af Edgard A. Pimentel, 9781009096669
Specifikationer
Sprog:
Engelsk
Sider:
202
ISBN-13:
9781009096669
Indbinding:
Paperback
ISBN-10:
1009096664
Udg. Dato:
29 sep 2022
Størrelse i cm:
15,2 x 22,9 x 1,6
Oplagsdato:
29 sep 2022
Forfatter(e):

Elliptic Regularity Theory by Approximation Methods

Engelsk
Paperback 2022
Format:

Bog beskrivelse
Presenting the basics of elliptic PDEs in connection with regularity theory, the book bridges fundamental breakthroughs – such as the Krylov–Safonov and Evans–Krylov results, Caffarelli''s regularity theory, and the counterexamples due to Nadirashvili and Vlăduţ – and modern developments, including improved regularity for flat solutions and the partial regularity result. After presenting this general panorama, accounting for the subtleties surrounding C-viscosity and Lp-viscosity solutions, the book examines important models through approximation methods. The analysis continues with the asymptotic approach, based on the recession operator. After that, approximation techniques produce a regularity theory for the Isaacs equation, in Sobolev and Hölder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hölder continuity for the Hessian of the solutions by connecting the problem with a Bellman equation. To complete the book, degenerate models are studied and their optimal regularity is described.
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Specifikationer
Sprog:
Engelsk
Sider:
202
ISBN-13:
9781009096669
Indbinding:
Paperback
ISBN-10:
1009096664
Udg. Dato:
29 sep 2022
Størrelse i cm:
15,2 x 22,9 x 1,6
Oplagsdato:
29 sep 2022
Forfatter(e):
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