Nonlinear Elliptic and Parabolic Equations of the Second Order

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Approach your problems from the It isn't that they can't see the right end and begin with the solution. It is that they can't see answers. Then one day, perhaps the problem. you will find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'. Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono­ graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theor.etical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Author(s): Nikolai Vladimirovich Krylov
Series: Mathematics and its Applications
Edition: Softcover reprint of the original 1st ed. 1987
Publisher: D. Reidel Publishing Company
Year: 1987

Language: English
Commentary: pages 586, 587 are missing
Pages: C, xiv, 462, B

Cover

Series Editors

Nonlinear Elliptic and Parabolic Equations of the Second Order

Copyright (C) 1987 by D. Reidel Publishing Company, Dordrecht, Holland
ISBN 9027722897

TABLE OF CONTENTS

EDITOR'S PREFACE

PREFACE

Chapter 1 AUXILIARY NOTIONS
Chapter 2 NONLINEAR EQUATIONS WITH CONSTANT 'COEFFICIENTS' IN THE WHOLE SPACE
Chapter 3 A PRIORI ESTIMATES IN Lp FOR SOLUTIONS OF NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS
Chapter 4 A PRIORI ESTIMATES IN C^a FOR SOLUTIONS OF LINEAR AND NONLINEAR EQUATIONS
Chapter 5 A-PRIORI ESTIMATES IN C^2+a FOR SOLUTIONS OF NONLINEAR EQUATIONS
Chapter 6 EXISTENCE THEOREMS FOR SOLUTIONS OF NON-DEGENERATE EQUATIONS
Chapter 7 DEGENERATE NONLINEAR EQUATIONS IN THE WHOLE SPACE
Chapter 8 DEGENERATE NONLINEAR EQUATIONS IN A DOMAIN

Appendix 1

Appendix 2 ALEKSANDROV'-BUSEMANN--FELLER THOEREM

BIBLIOGRAPHY

SUBJECT INDEX

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