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Oblique derivative problems for elli...

Lieberman, Gary M., (1952-)

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Oblique derivative problems for elliptic equations /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Oblique derivative problems for elliptic equations // Gary M. Lieberman.
Author:	Lieberman, Gary M.,
Published:	[Hackensack,] New Jersey:World Scientific, : [2013],
Description:	xv, 509 p. :ill. ;24 cm
[NT 15003449]:	1. Pointwise estimates -- 2. Classical Schauder theory from a modern perspective -- 3. The Miller barrier and some supersolutions for oblique derivative problems -- 4. Hölder estimates for first and second derivatives -- 5. Weak solutions -- 6. Strong solutions -- 7. Viscosity solutions of oblique derivative problems -- 8. Pointwise bounds for solutions of problems with quasilinear equations -- 9. Gradient estimates for general form oblique derivative problems -- 10. Gradient estimates for the conormal derivative problems -- 11. Higher order estimates and existence of solutions for quasilinear oblique derivative problems -- 12. Oblique derivative problems for fully nonlinear elliptic equations.
Subject:	Differential equations, Partial. -
ISBN:	9789814452328

Oblique derivative problems for elliptic equations /
Lieberman, Gary M.,1952-

Oblique derivative problems for elliptic equations /Gary M. Lieberman. - [Hackensack,] New Jersey:World Scientific,[2013] - xv, 509 p. :ill. ;24 cm

Includes bibliographical references (pages 493-505) and index.

1. Pointwise estimates -- 2. Classical Schauder theory from a modern perspective -- 3. The Miller barrier and some supersolutions for oblique derivative problems -- 4. Hölder estimates for first and second derivatives -- 5. Weak solutions -- 6. Strong solutions -- 7. Viscosity solutions of oblique derivative problems -- 8. Pointwise bounds for solutions of problems with quasilinear equations -- 9. Gradient estimates for general form oblique derivative problems -- 10. Gradient estimates for the conormal derivative problems -- 11. Higher order estimates and existence of solutions for quasilinear oblique derivative problems -- 12. Oblique derivative problems for fully nonlinear elliptic equations.

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems of optimal transportation. We begin with basic results for linear oblique derivative problems and work through the theory for quasilinear and nonlinear problems. A final chapter discusses some of the applications. In addition, notes to each chapter give a history of the topics in that chapter and suggestions for further reading.--

ISBN: 9789814452328

LCCN: 2013427178Subjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA377 / .L528 2013

Dewey Class. No.: 515.353

Oblique derivative problems for elliptic equations /
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050 0 0 $a QA377 $b .L528 2013
082 0 4 $a 515.353 $2 23
100 1 $a Lieberman, Gary M., $d 1952- $3 3814145
245 1 0 $a Oblique derivative problems for elliptic equations / $c Gary M. Lieberman.
260 # $a [Hackensack,] New Jersey: $b World Scientific, $c [2013]
300 $a xv, 509 p. : $b ill. ; $c 24 cm
504 $a Includes bibliographical references (pages 493-505) and index.
505 0 # $a 1. Pointwise estimates -- 2. Classical Schauder theory from a modern perspective -- 3. The Miller barrier and some supersolutions for oblique derivative problems -- 4. Hölder estimates for first and second derivatives -- 5. Weak solutions -- 6. Strong solutions -- 7. Viscosity solutions of oblique derivative problems -- 8. Pointwise bounds for solutions of problems with quasilinear equations -- 9. Gradient estimates for general form oblique derivative problems -- 10. Gradient estimates for the conormal derivative problems -- 11. Higher order estimates and existence of solutions for quasilinear oblique derivative problems -- 12. Oblique derivative problems for fully nonlinear elliptic equations.
520 3 $a This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations. The modern analysis of shock reflection was made possible by the theory of oblique derivative problems developed by the author. Such problems also arise in many other physical situations such as the shape of a capillary surface and problems of optimal transportation. We begin with basic results for linear oblique derivative problems and work through the theory for quasilinear and nonlinear problems. A final chapter discusses some of the applications. In addition, notes to each chapter give a history of the topics in that chapter and suggestions for further reading.-- $c Source other than Library of Congress.
650 # 0 $a Differential equations, Partial. $3 518115
650 # 0 $a Mathematical physics. $3 516853