Dewey Class 
515.353 
Title 
Direct and Inverse Problems of Mathematical Physics ([EBook]) / edited by Robert P. Gilbert, Joji Kajiwara, Yongzhi S. Xu. 
Added Personal Name 
Gilbert, Robert P. , 1932 editor. 
Kajiwara, Joji. editor. 
Xu, Yongzhi S. editor. 
Other name(s) 
SpringerLink (Online service) 
Publication 
Boston, MA : Springer US , 2000. 
Physical Details 
VII, 453 pages : online resource. 
Series 
International Society for Analysis, Applications, and Computation 13884271 ; ; 5 
ISBN 
9781475732146 
Summary Note 
This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC'97 Congress held at the University of Delaware, during June 27, 1997. The ISAAC Congress coincided with a U.S.Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT 9603029 and the Japan Society for the Promotion of Science through Grant MTCS134. It was natural that the 'participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense. This volume has the title Direct and Inverse Problems of Mathematical Physics which consists of the papers 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.: 
Contents note 
1. Algorithms of the Asymptotic Nonlinear Analysis  2. Transmission Loss in a Depthvarying Ocean over a Poroelastic Seabed  3. Variation on (x, ?) Duality  4. Uniqueness of Continuation Theorems  5. Determination of a Distributed Inhomogeneity in a Twolayer Waveguide from Scattered Sound  6. Differentiability with Respect to Parameters of Integrated Semigroups  7. Boundedness of Pseudodifferential Operators on HÃ¶rmander Spaces  8. Coefficient Identification in Elliptic Differential Equations  9. Quasiexponential Solutions for Some PDE with Coefficients of Limited Regularity  10. Analytically Smoothing Effect for SchrÃ¶dinger Type Equations with Variable Coefficients  11. Initial Boundary Value Problem for the Viscous Incompressible Flows  12. Initialboundary 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 Variationalhemivariational 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, Nonlinear Hyperbolic Equation with Nonlocal Integral Terms Arising in Epidemic Modeling  23. Singularities of Solutions for Nonlinear Hyperbolic Equations of Second Order  24. Positive Solutions of Semilinear Elliptic Boundary Value Problems in Chemical Reactor Theory  25. Fast Solvers of the LippmanSchwinger Equation  26. Inverse Source Problems for the Stokes System. 
System details note 
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 
Internet Site 
http://dx.doi.org/10.1007/9781475732146 
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