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Boundary Value Problems For Second Order Elliptic Equations

✍ Scribed by A.V. BITSADZE (Eds.)


Publisher
North-Holland
Year
1968
Tongue
English
Leaves
205
Series
North-Holland Series in Applied Mathematics and Mechanics 5
Category
Library

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✦ Synopsis


Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial Read more...


Abstract: Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965. This seven-chapter text is devoted to a study of the basic linear boundary value problems for linear second order partial differential equations, which satisfy the condition of uniform ellipticity

✦ Table of Contents


Content:
North-Holland Series In: Applied Mathematics and Mechanics Page 2
Front Matter Page 3
Copyright page Page 4
Previous Volumes in this Series Page 5
Editorial Note Page 6
Preface Page 7 A.V. Bitsadze
CHAPTER I - Introductory Remarks Pages 13-32
CHAPTER II - Certain Qualitative and Constructive Properties of Solutions of Elliptic Equations Pages 33-77
CHAPTER III - The Dirichlet Problem for a Second Order Elliptic Equation Pages 78-90
CHAPTER IV - The Dirichlet Problem for Elliptic Systems Pages 91-136
CHAPTER V - The Directional Derivative Problem for Equation (2.1), When the Direction of Inclination is Not Tangential to the Boundary Pages 137-146
CHAPTER VI - The PoincarÉ Problem for Second Order Elliptic Systems in Two Independent Variables Pages 147-168
CHAPTER VII - Certain Classes of Multidimensional Singular Integral Equations and Related Boundary Value Problems Pages 169-202
References Pages 203-208
Index Pages 209-211

✦ Subjects


Differential equations, Elliptic;Boundary value problems;Elliptische differentiaalvergelijkingen;Randwaardeproblemen


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