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Non-Homogeneous Media and Vibration Theory

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Cover of 'Non-Homogeneous Media and Vibration Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Distributions and Sobolev spaces
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    Chapter 2 Operators in Banach spaces
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    Chapter 3 Examples of boundary value problems
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    Chapter 4 Semigroups and laplace transform
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    Chapter 5 Homogenization of second order equations
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    Chapter 6 Homogenization in elasticity and electromagnetism
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    Chapter 7 Fluid flow in porous media
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    Chapter 8 Vibration of mixtures of solids and fluids
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    Chapter 9 Examples of perturbations for elliptic problems
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    Chapter 10 The Trotter-Kato theorem and related topics
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    Chapter 11 Spectral perturbation. Case of isolated eigenvalues
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    Chapter 12 Perturbation of spectral families and applications to selfadjoint eigenvalue problems
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    Chapter 13 Stiff problems in constant and varialbe domains
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    Chapter 14 Averaging and two-scale methods
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    Chapter 15 Generalities and potential method
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    Chapter 16 Functional methods
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    Chapter 17 Scattering problems depending on a parameter
Attention for Chapter 12: Perturbation of spectral families and applications to selfadjoint eigenvalue problems
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