Scattering by Obstacles and Potentials (Mathematical Physics)

Cover......Page 1
Scattering byObstacles andPotentials......Page 4
Copyright......Page 5
Dedication......Page 6
Contents......Page 8
Preface......Page 14
Introduction......Page 16
1 Scattering by an Obstacle......Page 30
2 The Inverse Scattering Problem......Page 107
3 Time-Dependent Problems......Page 144
4 The T-matrix Scheme......Page 181
5 Scattering by Small Bodies......Page 223
6 Some Inverse Scattering Problemsof Geophysics......Page 261
7 Scattering by Obstacles withInfinite Boundaries......Page 330
8 Scattering by Potentials......Page 367
9 Modified Rayleigh Conjecture......Page 448
Appendix ASummary of Some Resultsin Potential Theoryand Embedding Theorems......Page 475
Appendix BSummary of Some Resultsin Operator Theory......Page 487
Appendix C Eigenfunction Expansionsand Asymptotic of the s-Values for SomeNonself-adjoint Operators......Page 493
Appendix DStable Numerical Differentiation......Page 505
Appendix E Limit of the Spectraof the Interior Neumann Problems when a Solid DomainShrinks to a Plane One......Page 513
Appendix F Recovering of the Surface from the Knowledgeof Its Principal Curvatures......Page 521
Appendix G Calculating Resonances (Natural Frequencies) and Extracting themfrom Transient Fields......Page 529
Bibliographical Notes......Page 559
Bibliography......Page 573
List of Symbols......Page 599
Index......Page 603