Direct and Inverse Problems of Mathematical Physics by R.P. GilbertDirect and Inverse Problems of Mathematical Physics by R.P. Gilbert

Direct and Inverse Problems of Mathematical Physics

EditorR.P. Gilbert, Joji Kajiwara, Yongzhi S. Xu

Paperback | December 7, 2010

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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.
Title:Direct and Inverse Problems of Mathematical PhysicsFormat:PaperbackDimensions:460 pages, 9.25 × 6.1 × 0 inPublished:December 7, 2010Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:144194818X

ISBN - 13:9781441948182

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Table of Contents

Preface. 1. Algorithms of the Asymptotic Nonlinear Analysis; A. Bruno. 2. Transmission Loss in a Depth-varying Ocean over a Poroelastic Seabed; J. Buchanan, R.P. Gilbert. 3. Variation on (chi, psi) Duality; R. Carroll. 4. Uniqueness of Continuation Theorems; M. Eller. 5. Determination of a Distributed Inhomogeneity in a Two-layer Waveguide from Scattered Sound; R.P. Gilbert, et al. 6. Differentiability with Respect to Parameters of Integrated Semigroups; M. He. 7. Coundedness of Pseudo-differential Operators on Hörmander Spaces; G. Iancu. 8. Coefficient Identification in Elliptic Differential Equations; I. Knowles. 9. Quasi-exponential Solutions for Some PDE with Coefficients of Limited Regularity; A. Panchenko. 10. Analytically Smoothing Effect for Schrödinger Type Equations with Variable Coefficients; K. Kajitani, W. Wakabayashi. 11. Initial Boundary Value Problem for the Viscous Incompressible Flows; H. Kato. 12. Initial-boundary Value Problems for an Equation of Internal Waves in a Stratified Fluid; P. Krutitskii. 13. Homogenization of the System Equations of High Frequency Nonlinear Acoustics; E.A. Lapshin, G.P. Panasenko. 14. Identification of a Reflection Boundary Coefficient in an Acoustic Wave Equation by Optimal Control Techniques; S. Lenhart, et al. 15. Numerical Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets; W. Lin, X. Wang. 16. Solution of the Robin and Dirichlet Problem for the Laplace Equation; D. Medkova. 17. Existence and Decay of Solutions of some Nonlinear Degenerate Parabolic Equations; T. Nanbu. 18. On Regularity Results for Variational-hemivariational Inequalities; Z. Naniewicz, P.D. Panagiotoopoulos. 19. Quasi-exponential Solutions for some PDE with Coefficients of Limited Regularity; A. Panchenko. 20. An Inverse Problem in Elastodynamics; L. Rachele. 21. Denseness of Co∞(RN) in the Generalized Sobolev Spaces; S. Samko. 22. Singularities of Reflected and Refracted Riemann Functions of Elastic Wave Propagation Problems in Stratified Media; S. Shimizu. 23. Exact Boundary Controllability of a First Order, Non-linear Hyperbolic Equation with Non-local Integral Terms Arising in Epidemic Modeling; I. Lasiecka, R. Triggiani. 24. Singularities of Solutions for Nonlinear Hyperbolic Equations of Second Order; M. Tsuji. 25. Positive Solutions of Semilinear Elliptic Boundary Value Problems in Chemical Reactor Theory; K. Umezu, K. Taira. 26. Fast Solvers of the Lippman-Schwinger Equation; G. Vainikko. 27. Inverse Source Problems for the Stokes System; M. Yamamota, O.Y. Imanuvilov.