Compiles research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. This book explores a range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the theoretical developments.
Compiles research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. This book explores a range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the theoretical developments.
Gisèle Ruiz Goldstein is Professor, Department of Mathematical Sciences, University of Memphis, Tennessee. She is the author of more than 40 journal articles and coeditor of four books. Her research interests include partial differential equations, semigroups of operators, and mathematical physics. She received the B.S. (1980) and Ph.D. (1986) degrees in mathematics from Tulane University, New Orleans, Louisiana. Rainer Nagel is Professor of Mathematics, University of Tübingen, Germany. He is the author of nearly 100 research papers and two books and is editor-in-chief of the Journal of Evolution Equations. He also serves on the editorial boards of Semigroup Forum, Positivity, and several other journals. Professor Nagel is a member of Deutsche Maathematiker Vereinigung, the Unione Matematica Italiana, the American Mathematical Society, and the Society for Industrial and Applied Mathematics and serves as coordinator of the TULKA research group. Professor Nagel received the Ph.D. degree (1969) and Habilitation (1973) from the University of Tübingen, Germany. Silvia Romanelli is Associate Professor, Department of Mathematics, University of Bari, Italy. The author or coauthor of nearly 50 papers, her research interests include problems of existence and regularity of semigroups generated by differential operators and their applications. The coordinator of research and mobility programs, she is a member of the Unione Matematica Italiana and the European Mathematical Society. She received the degree (1973) in mathematics from the University of Bari, Italy.
Inhaltsangabe
Preface Contributors Biography The Hille-Yoshida Cantata 1. Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt 2. Local and Global Well-Posedness Results for Generalized BBM-type Equations 3. Variable Coefficient KdV Equations and Waves in Elastic Tubes 4. Infinitely Many Solutions for a Superlinear Neumann Problem in Tileable Regions 5. On Applications of Maximal Regularity to Inverse Problems for Integrodifferential Equations of Parabolic Type 6. A Semilinear Integrodifferential Inverse Problem 7. Gearhart-Priiss Theorem in Stability for Wave Equations. A Survey 8. A Note on Generalized Maximum Principles for Elliptic and Parabolic PDE 9. Finite Dimensional Convex Gradient Systems Perturbed by Noise 10. Differentiability of the Solution Semigroup for Delay Differential Equations 11. Second Order Differential Operators on C[0 1] with Wentzell-Robin Boundary Conditions 12. A New Approach to the Regularity of Solutions for Parabolic Equations 13. The Regulator Problem for a Singular Control System 14. Criteria for R-Boundedness of Operator Families 15. One Dimensional Hyperbolic Systems and Hille-Yosida Operators 16. On the Wave Equation Subjected to Coulomb Friction 17. Asymptotics of Perturbations to the Wave Equation 18. A Class of Ordinary Differential Operators with Jump Boundary Conditions 19. An Alternate Proof of Kato's Inequality 20. On a Continuous Coagulation and Fragmentation Equation with a Singular Fragmentation Kernel 21. Almost Periodicity of Inhomogeneous Parabolic Evolution Equations 22. Linear Delay Equations in the Lp-context 23. Integrated Form of Continuous Newton's Method 24. Effects of a Variable Step-Size in Some Abstract Product Formulas 25. Evolution Operators in Stochastic Processes and Inference 26. Competition between Diffusion and Inhomogeneous Reaction 27. Global Bifurcations of Concave Semipositone Problems 28. An Obstruction to Prescribing Positive Scalar Curvature on Complete Manifolds with Ricci ¿ 0
Preface Contributors Biography The Hille-Yoshida Cantata 1. Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt 2. Local and Global Well-Posedness Results for Generalized BBM-type Equations 3. Variable Coefficient KdV Equations and Waves in Elastic Tubes 4. Infinitely Many Solutions for a Superlinear Neumann Problem in Tileable Regions 5. On Applications of Maximal Regularity to Inverse Problems for Integrodifferential Equations of Parabolic Type 6. A Semilinear Integrodifferential Inverse Problem 7. Gearhart-Priiss Theorem in Stability for Wave Equations. A Survey 8. A Note on Generalized Maximum Principles for Elliptic and Parabolic PDE 9. Finite Dimensional Convex Gradient Systems Perturbed by Noise 10. Differentiability of the Solution Semigroup for Delay Differential Equations 11. Second Order Differential Operators on C[0 1] with Wentzell-Robin Boundary Conditions 12. A New Approach to the Regularity of Solutions for Parabolic Equations 13. The Regulator Problem for a Singular Control System 14. Criteria for R-Boundedness of Operator Families 15. One Dimensional Hyperbolic Systems and Hille-Yosida Operators 16. On the Wave Equation Subjected to Coulomb Friction 17. Asymptotics of Perturbations to the Wave Equation 18. A Class of Ordinary Differential Operators with Jump Boundary Conditions 19. An Alternate Proof of Kato's Inequality 20. On a Continuous Coagulation and Fragmentation Equation with a Singular Fragmentation Kernel 21. Almost Periodicity of Inhomogeneous Parabolic Evolution Equations 22. Linear Delay Equations in the Lp-context 23. Integrated Form of Continuous Newton's Method 24. Effects of a Variable Step-Size in Some Abstract Product Formulas 25. Evolution Operators in Stochastic Processes and Inference 26. Competition between Diffusion and Inhomogeneous Reaction 27. Global Bifurcations of Concave Semipositone Problems 28. An Obstruction to Prescribing Positive Scalar Curvature on Complete Manifolds with Ricci ¿ 0
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