Degenerate Oblique Derivative Problem for Elliptic and Parabolic Equations

Degenerate Oblique Derivative Problem for Elliptic and Parabolic Equations

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Overview

Degenerate Oblique Derivative Problem for Elliptic and Parabolic Equations by Petar R. Popivanov, Dian K. Palagachev

The authors investigate the degenerate (tangential) oblique derivative problem for linear and semilinear second order elliptic and parabolic operators. They propose at first a survey on the linear degenerate oblique derivative problem including central results on the subject, as well as subelliptic estimates in Sobolev and Holder classes. Theorems on existence, uniqueness, and regularity of the classical solutions to the tangential oblique derivative problem for semilinear elliptic and parabolic equations are detailed.

Product Details

ISBN-13: 9783055017575
Publisher: Wiley
Publication date: 08/01/1997
Pages: 156
Product dimensions: 6.73(w) x 9.45(h) x 0.31(d)

About the Author

Peter R. Popivanov, Professor at the Institute of Mathematics of the Bulgarian Academy of Sciences, Sofia, Bulgaria;
Dian K. Palagachev, Associate Professor at the Technological University of Sofia, Bulgaria

Table of Contents

Models of Subelliptic Estimates in Sobolev and Hoelder Classes.

Schauber-Type Estimates for the Degenerate Problem for Linear Parabolic Operators.

Existence, Uniqueness and Regularity of the Solutions to the Degenerate Oblique Derivative Problem for Linear and Semilinear Elliptic and Parabolic Operators of Second Order in Hoelder Classes.

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