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Differential Equations with Operator Coefficients : with Applications to Boundary Value Problems for Partial Differential Equations

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Cover of 'Differential Equations with Operator Coefficients : with Applications to Boundary Value Problems for Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Power-Exponential Zeros
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    Chapter 2 Differential Operator Equations in Weighted Sobolev Spaces
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    Chapter 3 Solutions in a Local Sobolev Space
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    Chapter 4 Two-Weight L 2 -Estimates
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    Chapter 5 Existence, Uniqueness and “Pointwise” Estimates
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    Chapter 6 Corollaries of Previous Results Under Special Assumptions on L ( t , D t )
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    Chapter 7 Two-Weight L 2 -Estimates for Equations with Variable Coefficients
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    Chapter 8 Connection of Solutions Corresponding to Different Strips
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    Chapter 9 Applications to the Case of Perturbations Vanishing at Infinity
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    Chapter 10 Variants and Extensions of the Previous Theory
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    Chapter 11 Complete Asymptotic Expansions Under Exponential and Power Perturbations of A ( D t )
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    Chapter 12 Reduction to a First Order System
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    Chapter 13 General Asymptotic Representation
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    Chapter 14 Power-Exponential Asymptotics
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    Chapter 15 The Case of One Simple Eigenvalue on the Line
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    Chapter 16 Several Simple Eigenvalues on the Line
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    Chapter 17 The Case of a Single Multiple Eigenvalue
Attention for Chapter 1: Power-Exponential Zeros
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