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The Cauchy Problem for Solutions of Elliptic Equations Book

The Cauchy Problem for Solutions of Elliptic Equations
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The Cauchy Problem for Solutions of Elliptic Equations, This book examines the Cauchy problem for elliptic equations under the aspects of approximation, solvability, and reconstruction of solutions via their initial data. It also explores the problem of analytic continuation of functions from a boundary subset, The Cauchy Problem for Solutions of Elliptic Equations
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  • The Cauchy Problem for Solutions of Elliptic Equations
  • Written by author Nikolai N. Tarkhanov
  • Published by Wiley VCH, 1995/05/09
  • This book examines the Cauchy problem for elliptic equations under the aspects of approximation, solvability, and reconstruction of solutions via their initial data. It also explores the problem of analytic continuation of functions from a boundary subset
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Book Categories

Authors

Introduction 17
List of main notations 27
1 Function spaces 29
2 Pseudodifferential operators in the spaces of distributions on closed sets 78
3 Capacity 124
4 Systems of differential equations with injective (surjective) symbols 172
5 Coarse results on approximation on compact sets by solutions of a system with surjective symbol 190
6 Approximation in spaces of smooth functions 206
7 Approximation in Holder spaces 233
8 Approximation in Sobolev spaces 242
9 Generalized boundary values of solutions of a system with injective symbol 277
10 The Cauchy problem for a system with injective symbol 335
11 Method of Fischer-Riesz equations in the Cauchy problem for a system with injective symbol 374
12 Bases with double orthogonality in the Cauchy problem for a system with injective symbol 415
Bibliography 457
Index of names 473
Subject index 476
Index of notation 479


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The Cauchy Problem for Solutions of Elliptic Equations, This book examines the Cauchy problem for elliptic equations under the aspects of approximation, solvability, and reconstruction of solutions via their initial data. It also explores the problem of analytic continuation of functions from a boundary subset, The Cauchy Problem for Solutions of Elliptic Equations

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The Cauchy Problem for Solutions of Elliptic Equations, This book examines the Cauchy problem for elliptic equations under the aspects of approximation, solvability, and reconstruction of solutions via their initial data. It also explores the problem of analytic continuation of functions from a boundary subset, The Cauchy Problem for Solutions of Elliptic Equations

The Cauchy Problem for Solutions of Elliptic Equations

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The Cauchy Problem for Solutions of Elliptic Equations, This book examines the Cauchy problem for elliptic equations under the aspects of approximation, solvability, and reconstruction of solutions via their initial data. It also explores the problem of analytic continuation of functions from a boundary subset, The Cauchy Problem for Solutions of Elliptic Equations

The Cauchy Problem for Solutions of Elliptic Equations

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