Direct and Inverse Problems of Mathematical Physics Book

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.