Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
Author: Pierluigi Colli
Publisher: Springer
Total Pages: 572
Release: 2017-11-03
Genre: Mathematics
ISBN: 3319644890

This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.

Advances in Mathematical Economics

Advances in Mathematical Economics
Author: Toru Maruyama
Publisher: Springer Nature
Total Pages: 333
Release: 2020-02-20
Genre: Mathematics
ISBN: 9811507139

The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

Evolution Equations and Approximations

Evolution Equations and Approximations
Author: Kazufumi Ito
Publisher: World Scientific
Total Pages: 524
Release: 2002
Genre: Science
ISBN: 9789812380265

Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR

Extending H-infinity Control to Nonlinear Systems

Extending H-infinity Control to Nonlinear Systems
Author: J. William Helton
Publisher: SIAM
Total Pages: 340
Release: 1999-01-01
Genre: Technology & Engineering
ISBN: 0898714400

H-infinity control made considerable strides toward systematizing classical control. This bookaddresses how this extends to nonlinear systems.

Theory of Fractional Evolution Equations

Theory of Fractional Evolution Equations
Author: Yong Zhou
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 255
Release: 2022-03-21
Genre: Technology & Engineering
ISBN: 3110769360

Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.

Numerical Treatment and Analysis of Time-Fractional Evolution Equations

Numerical Treatment and Analysis of Time-Fractional Evolution Equations
Author: Bangti Jin
Publisher: Springer Nature
Total Pages: 428
Release: 2023-02-26
Genre: Mathematics
ISBN: 3031210506

This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.