New Prospects in Direct, Inverse and Control Problems for Evolution Equations
Title | New Prospects in Direct, Inverse and Control Problems for Evolution Equations PDF eBook |
Author | Angelo Favini |
Publisher | Springer |
Pages | 472 |
Release | 2014-11-27 |
Genre | Mathematics |
ISBN | 3319114069 |
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.
Deterministic and Stochastic Optimal Control and Inverse Problems
Title | Deterministic and Stochastic Optimal Control and Inverse Problems PDF eBook |
Author | Baasansuren Jadamba |
Publisher | CRC Press |
Pages | 378 |
Release | 2021-12-15 |
Genre | Computers |
ISBN | 1000511758 |
Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations. This edited volume comprises invited contributions from world-renowned researchers in the subject of control and inverse problems. There are several contributions on optimal control and inverse problems covering different aspects of the theory, numerical methods, and applications. Besides a unified presentation of the most recent and relevant developments, this volume also presents some survey articles to make the material self-contained. To maintain the highest level of scientific quality, all manuscripts have been thoroughly reviewed.
Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
Title | Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs PDF eBook |
Author | Pierluigi Colli |
Publisher | Springer |
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.
Inverse Problems and Related Topics
Title | Inverse Problems and Related Topics PDF eBook |
Author | Jin Cheng |
Publisher | Springer Nature |
Pages | 310 |
Release | 2020-02-04 |
Genre | Mathematics |
ISBN | 9811515921 |
This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the researches on inverse problems. The volume covers theories of inverse problems for partial differential equations, regularization methods, and related topics from control theory. This book addresses a wide audience of researchers and young post-docs and graduate students who are interested in mathematical sciences as well as mathematics.
Control of Degenerate and Singular Parabolic Equations
Title | Control of Degenerate and Singular Parabolic Equations PDF eBook |
Author | Genni Fragnelli |
Publisher | Springer Nature |
Pages | 105 |
Release | 2021-04-06 |
Genre | Mathematics |
ISBN | 303069349X |
This book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and senior researchers with a useful text, where they can find the desired statements and the related bibliography. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.
Advances in Partial Differential Equations and Control
Title | Advances in Partial Differential Equations and Control PDF eBook |
Author | Kaïs Ammari |
Publisher | Springer Nature |
Pages | 250 |
Release | |
Genre | |
ISBN | 3031622650 |
Delay Differential Evolutions Subjected to Nonlocal Initial Conditions
Title | Delay Differential Evolutions Subjected to Nonlocal Initial Conditions PDF eBook |
Author | Monica-Dana Burlică |
Publisher | CRC Press |
Pages | 322 |
Release | 2018-09-03 |
Genre | Mathematics |
ISBN | 1315351684 |
Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions. After preliminaries on nonlinear evolution equations governed by dissipative operators, the book gives a thorough study of the existence, uniqueness, and asymptotic behavior of global bounded solutions for differential equations with delay and local initial conditions. It then focuses on two important nonlocal cases: autonomous and quasi-autonomous. The authors next discuss sufficient conditions for the existence of almost periodic solutions, describe evolution systems with delay and nonlocal initial conditions, examine delay evolution inclusions, and extend some results to the multivalued case of reaction-diffusion systems. The book concludes with results on viability for nonlocal evolution inclusions.