Overview

The book consists of state-of-the-art chapters on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo-differential operators, and semigroup theory. Audience: Researchers working in the field as well as scientists interested in the applications.

Full Product Details

Author:   R.P. Gilbert ,  Joji Kajiwara ,  Yongzhi S. Xu
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2000
Volume:   5
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.706kg
ISBN:  

9781441948182

ISBN 10:   144194818
Pages:   453
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

1. Algorithms of the Asymptotic Nonlinear Analysis.- 2. Transmission Loss in a Depth-varying Ocean over a Poroelastic Seabed.- 3. Variation on (x, ?) Duality.- 4. Uniqueness of Continuation Theorems.- 5. Determination of a Distributed Inhomogeneity in a Two-layer Waveguide from Scattered Sound.- 6. Differentiability with Respect to Parameters of Integrated Semigroups.- 7. Boundedness of Pseudo-differential Operators on Hörmander Spaces.- 8. Coefficient Identification in Elliptic Differential Equations.- 9. Quasi-exponential Solutions for Some PDE with Coefficients of Limited Regularity.- 10. Analytically Smoothing Effect for Schrödinger Type Equations with Variable Coefficients.- 11. Initial Boundary Value Problem for the Viscous Incompressible Flows.- 12. Initial-boundary Value Problems for an Equation of Internal Waves in a Stratified Fluid.- 13. Homogenization of the System Equations of High Frequency Nonlinear Acoustics.- 14. Identification of a Reflection Boundary Coefficient in an Acoustic Wave Equation by Optimal Control Techniques.- 15. Numerical Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets.- 16. Solution of the Robin and Dirichlet Problem for the Laplace Equation.- 17. Existence and Decay of Solutions of some Nonlinear Degenerate Parabolic Equations.- 18. On Regularity Results for Variational-hemivariational Inequalities.- 19. An Inverse Problem in Elastodynamics.- 20. Denseness of C0?(RN) in the Generalized Sobolev Spaces.- 21. Singularities of Reflected and Refracted the Riemann Functions of Elastic Wave Propagation Problems in Stratified Media.- 22. Exact Boundary Controllability of a First Order, Non-linear Hyperbolic Equation with Non-local Integral Terms Arising in Epidemic Modeling.- 23. Singularities of Solutions forNonlinear Hyperbolic Equations of Second Order.- 24. Positive Solutions of Semilinear Elliptic Boundary Value Problems in Chemical Reactor Theory.- 25. Fast Solvers of the Lippman-Schwinger Equation.- 26. Inverse Source Problems for the Stokes System.

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