1st Edition

semigroup theory and applications

By Phillipe Clement Copyright 1989
    480 Pages
    by CRC Press

    472 Pages
    by CRC Press

    This book contains articles on maximal regulatory problems, interpolation spaces, multiplicative perturbations of generators, linear and nonlinear evolution equations, integrodifferential equations, dual semigroups, positive semigroups, applications to control theory, and boundary value problems.

    1. Zygmund Classes with Boundary Conditions as Interpolation Spaces 2. Feedback Stabilization of Linear and Semilinear Parabolic Systems 3. A Degenerate Parabolic Equation 4. Pointwise Inequalities for Schrödinger Semigroups 5. Perturbation Theory for Dual Semigroups IV: The Intertwining Formula and the Canonical Pairing 6. Some Degenerate Fully Nonlinear Equations 7. Some Generation Results for Perturbed Semigroups 8. When are Two CO Semigroups Related by a Bounded Perturbation? 9. Semigroup Methods for Two-Component Systems of Semilinear Hyperbolic Equations 10. Positive Contraction Semigroups on B(H) and Quantum Stochastic Differential Equations 11. Degenerate Parabolic Problems and the Wentzel Boundary Condition 12. Semilinear Boundary Conditions for Evolution Equations of Hyperbolic Type 13. Well-Posedness of Hyperbolic Equations with Delay in the Boundary Conditions 14. Stabilization of Discrete Strongly Order-Preserving Semigroups and Dynamical Processes 15. Exact Controllability of the Euler-Bernoulli Equation with Controls in the Dirichlet and Neumann Boundary Conditions: A Nonconservative Case 16. An Inverse Problem in the Theory of Materials with Memory II 17. Singular Perturbation and Operators of Finite Local Type 18. Structural Operators for Abstract Functional Differential Equations 19. Singular Perturbations of Parabolic Equations in Lp 20. Semigroups in Spaces of Bochner Integrable Functions and their Duals 21. Hille-Yosida-Type Theorems for Integrodifferential Equations 22. Almost Periodic Subspaces Related to Operator Semigroups 23. Linear Hyperbolic Volterra Equations of Scalar Type 24. Holder Regularity Results for Nonhomogeneous Parabolic Initial Boundary Value Linear Problems 25. Approximation, Saturation, and Semigroups of Operators in Banach Spaces 26. Analytic Semigroups Generated in H-m,p by Elliptic Variational Operators and Applications to Linear Cauchy Problems 27. Applications of the Theory of Semigroups with Nondensely Defined Generators 28. Semigroup Methods in Population Dynamics: Proliferating Cell Populations


    Phillipe Clement