Integral methods in science and engineering vol1.pdf

Integral Methods in

Science and Engineering

Volume 1

Analytic Methods

C. Constanda

M.E. Pérez

Editors

Birkhäuser

Boston •

Basel

• Berlin

Editors

C. Constanda

M.E. Pérez

Departamento de Matemática Aplicada

y Ciencias de la Computación

Universidad de Cantabria

Avenida de los Castros s/n

39005 Santander

Spain

meperez@unican.es

Department of Mathematical

and Computer Sciences

University of Tulsa

800 South Tucker Drive

Tulsa, OK 74104

USA

christian-constanda@utulsa.edu

ISBN 978-0-8176-4898-5

e-ISBN 978-0-8176-4899-2

DOI 10.1007/978-0-8176-4899-2

Springer New York Dordrecht Heidelberg London

Library of Congress Control Number: 2009941542

Mathematics Subject Classification (2000): 34-06, 35-06, 40-06, 40C10, 45-06, 65-06, 74-06, 76-06

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Cover design : Joseph Sherman

Printed on acid-free paper

Birkhäuser Boston is part of Springer Science+Business Media (www.birkhauser.com)

Contents

Preface .......................................................

List of Contributors .......................................... xiii

1 Homogenization of the Integro-Diﬀerential Burgers

Equation

A. Amosov, G. Panasenko ....................................... 1

2 Geometric Versus Spectral Convergence for the Neumann

Laplacian under Exterior Perturbations of the Domain

J.M. Arrieta, D. Krejcirık ....................................... 9

3 Dyadic Elastic Scattering by Point Sources: Direct and

Inverse Problems

C.E. Athanasiadis, V. Sevroglou, and I.G. Stratis ................... 21

4 Two-Operator Boundary–Domain Integral Equations for a

Variable-Coecient BVP

T.G. Ayele, S.E. Mikhailov....................................... 29

5 Solution of a Class of Nonlinear Matrix Diﬀerential

Equations with Application to General Relativity

M. Azreg-Aınou................................................. 41

6 The Bottom of the Spectrum in a Double-Contrast Periodic

Model

N.O. Babych ................................................... 53

7 Fredholm Characterization of Wiener–Hopf–Hankel

Integral Operators with Piecewise Almost Periodic Symbols

G. Bogveradze, L.P. Castro ...................................... 65

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