Direct and Inverse Problems of Mathematical Physics

Inbunden, Engelska, 2000

AvR.P. Gilbert,Joji Kajiwara,Yongzhi S. Xu,R. P. Gilbert

1 379 kr

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This text consists of chapters on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media and viscous flows. It also covers topics such as nonlinear acoustics, Sobolev spaces, singularity theory, pseudo-differential operators and semigroup theory.

Produktinformation

Utgivningsdatum2000-04-30
Mått156 x 234 x 30 mm
Vikt857 g
FormatInbunden
SpråkEngelska
SerieInternational Society for Analysis, Applications and Computation
Antal sidor453
Upplaga2000
FörlagKluwer Academic Publishers
ISBN9780792360056

Tillhör följande kategorier

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.