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Elliptic Regularity Theory by Approximation Methods
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Elliptic Regularity Theory by Approximation Methods Paperback - 2022

by Edgard A. Pimentel

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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 Hlder spaces. Although the Isaacs operator lacks convexity, approximation methods are capable of producing Hlder 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.

Details

  • Title Elliptic Regularity Theory by Approximation Methods
  • Author Edgard A. Pimentel
  • Binding Paperback
  • Pages 202
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2022-09-29
  • ISBN 9781009096669 / 1009096664
  • Weight 0.65 lbs (0.29 kg)
  • Dimensions 8.9 x 5.9 x 0.5 in (22.61 x 14.99 x 1.27 cm)
  • Category Mathematics

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

by Pimentel, Edgard A

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Cambridge University Press, 2022. First Edition. Paperback. Like New. 6x0x9. In nearly new condition: firm and square with strong joints, no creases. Just a few hardly noticeable rubs or very mild bumps. Hence a non-text page shows a small 'damaged' stamp. Despite such this book looks and feels unread. Thus the contents are crisp, fresh and tight. And so a very nice book in great condition, now offered for sale at a reasonable price.
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Elliptic Regularity Theory by Approximation Methods

Elliptic Regularity Theory by Approximation Methods

by Edgard A. Pimentel

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ISBN 10 / ISBN 13
9781009096669 / 1009096664
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Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note...
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Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series)

by Pimentel, Edgard A.

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  • Paperback
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Paperback
ISBN 10 / ISBN 13
9781009096669 / 1009096664
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Cambridge University Press, 2022. Paperback. New. 190 pages. 9.00x6.00x0.50 inches.
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Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note...
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Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note Series)

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9781009096669 / 1009096664
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Elliptic Regularity Theory by Approximation Methods (London Mathematical Society Lecture Note...
Stock photo: cover may vary

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

by Pimentel, Edgard A.

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ISBN 10 / ISBN 13
9781009096669 / 1009096664
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paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
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