附註:Includes bibliographical references (pages 555-576) and index.
Cover -- Preface -- Table of Contents -- Prelude -- 1. Linear Dynamical Systems -- 2. Semigroups, Generators, and Resolvents -- 3. Perturbation and Approximation of Semigroups -- 4. Spectral Theory for Semigroups and Generators -- 5. Asymptotics of Semigroups -- 6. Semigroups Everywhere -- 7. A Brief History of the Exponential Function -- Appendix A -- A Reminder of Some Functional Analysis -- Appendix B -- A Reminder of Some Operator Theory -- Appendix C -- Vector-Valued Integration -- Epilogue Determinism: Scenes from the Interplay Between Metaphysics and Mathematics -- References -- List of Symbols and Abbreviations.
摘要:This title gives an up-to-date account of the theory of one-parameter semi groups of linear evolution equations. It contains a systematic discussion of the spectral theory and the qualitative behaviour of semi groups as well as many applications to partial differential equations, functional differential equations and Volterra equations.
