Convergence And Optimal Contorol Problems Of Nonlinear Evolution Equations Governed By Time Dependent Operator
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| 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.
| 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.
| 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
| 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.
| Author | : |
| Publisher | : |
| Total Pages | : 1056 |
| Release | : 1972 |
| Genre | : Aeronautics |
| ISBN | : |
| 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.
| Author | : |
| Publisher | : |
| Total Pages | : 1166 |
| Release | : 1977 |
| Genre | : Mechanics, Applied |
| ISBN | : |
| Author | : Piotr Mucha |
| Publisher | : |
| Total Pages | : 332 |
| Release | : 2009 |
| Genre | : Differential equations, Parabolic |
| ISBN | : |
| Author | : Society for Industrial and Applied Mathematics |
| Publisher | : |
| Total Pages | : 780 |
| Release | : 1988 |
| Genre | : Control theory |
| ISBN | : |
| 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.
