Read Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series)

Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series)

Edgard A Pimentel

4.9/5 (11022 ratings)

Description: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 H�lder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing H�lder 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series). To get started finding Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1009096664

Description: 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 H�lder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing H�lder 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series). To get started finding Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series)

Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series)

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