New Prospects In Direct Inverse And Control Problems For Evolution Equations

Author : Angelo Favini,Genni Fragnelli,Rosa Maria Mininni
Publisher : Springer
Page : 472 pages
File Size : 41,6 Mb
Release : 2014-11-27
Category : Mathematics
ISBN : 9783319114064

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New Prospects in Direct, Inverse and Control Problems for Evolution Equations by Angelo Favini,Genni Fragnelli,Rosa Maria Mininni Pdf

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.

Author : Baasansuren Jadamba,Akhtar A. Khan,Stanisław Migórski,Miguel Sama
Publisher : CRC Press
Page : 378 pages
File Size : 53,8 Mb
Release : 2021-12-15
Category : Computers
ISBN : 9781000511758

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Deterministic and Stochastic Optimal Control and Inverse Problems by Baasansuren Jadamba,Akhtar A. Khan,Stanisław Migórski,Miguel Sama Pdf

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.

Author : Pierluigi Colli,Angelo Favini,Elisabetta Rocca,Giulio Schimperna,Jürgen Sprekels
Publisher : Springer
Page : 571 pages
File Size : 47,7 Mb
Release : 2017-11-03
Category : Mathematics
ISBN : 9783319644899

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Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs by Pierluigi Colli,Angelo Favini,Elisabetta Rocca,Giulio Schimperna,Jürgen Sprekels Pdf

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 : Jin Cheng,Shuai Lu,Masahiro Yamamoto
Publisher : Springer Nature
Page : 310 pages
File Size : 45,8 Mb
Release : 2020-02-04
Category : Mathematics
ISBN : 9789811515927

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Inverse Problems and Related Topics by Jin Cheng,Shuai Lu,Masahiro Yamamoto Pdf

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.

Author : Anna Maria Candela,Mirella Cappelletti Montano,Elisabetta Mangino
Publisher : Springer Nature
Page : 470 pages
File Size : 41,9 Mb
Release : 2023-06-21
Category : Mathematics
ISBN : 9783031200212

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Recent Advances in Mathematical Analysis by Anna Maria Candela,Mirella Cappelletti Montano,Elisabetta Mangino Pdf

This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.

Author : Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie
Publisher : CRC Press
Page : 322 pages
File Size : 49,5 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315351681

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Delay Differential Evolutions Subjected to Nonlocal Initial Conditions by Monica-Dana Burlică,Mihai Necula,Daniela Roșu,Ioan I. Vrabie Pdf

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.

Author : Irina V. Melnikova
Publisher : CRC Press
Page : 286 pages
File Size : 54,9 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9781498785853

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Stochastic Cauchy Problems in Infinite Dimensions by Irina V. Melnikova Pdf

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the methods of infinite-dimensional stochastic analysis. It also shows how the idea of regularization in a broad sense pervades all these methods and is useful for numerical realization and applications of the theory. The book presents generalized solutions to the Cauchy problem in its initial form with white noise processes in spaces of distributions. It also covers the "classical" approach to stochastic problems involving the solution of corresponding integral equations. The first part of the text gives a self-contained introduction to modern semi-group and abstract distribution methods for solving the homogeneous (deterministic) Cauchy problem. In the second part, the author solves stochastic problems using semi-group and distribution methods as well as the methods of infinite-dimensional stochastic analysis.

Author : Angelo Favini,Alfredo Lorenzi
Publisher : CRC Press
Page : 303 pages
File Size : 53,9 Mb
Release : 2006-06-09
Category : Mathematics
ISBN : 9781420011135

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Differential Equations by Angelo Favini,Alfredo Lorenzi Pdf

With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientifi

Author : Sergio Albeverio,Franco Flandoli,Yakov G. Sinai
Publisher : Springer Science & Business Media
Page : 183 pages
File Size : 44,8 Mb
Release : 2008-04-14
Category : Mathematics
ISBN : 9783540784920

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SPDE in Hydrodynamics: Recent Progress and Prospects by Sergio Albeverio,Franco Flandoli,Yakov G. Sinai Pdf

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

Author : G. Marinoschi
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 42,8 Mb
Release : 2006-09-05
Category : Mathematics
ISBN : 9781402048807

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Functional Approach to Nonlinear Models of Water Flow in Soils by G. Marinoschi Pdf

This work of applied mathematics focuses on the functional study of the nonlinear boundary value problems relating to water flow in porous media, a topic which has not up to now been explored in book form. The author shows that abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are. The volume deals with diffusion type models, emphasizing the mathematical treatment of their nonlinear aspects.

Author : Alexander L. Sakhnovich,Lev A. Sakhnovich,Inna Ya. Roitberg
Publisher : Walter de Gruyter
Page : 356 pages
File Size : 48,7 Mb
Release : 2013-07-31
Category : Mathematics
ISBN : 9783110258615

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Inverse Problems and Nonlinear Evolution Equations by Alexander L. Sakhnovich,Lev A. Sakhnovich,Inna Ya. Roitberg Pdf

This book is based on the method of operator identities and related theory of S-nodes, both developed by Lev Sakhnovich. The notion of the transfer matrix function generated by the S-node plays an essential role. The authors present fundamental solutions of various important systems of differential equations using the transfer matrix function, that is, either directly in the form of the transfer matrix function or via the representation in this form of the corresponding Darboux matrix, when Bäcklund–Darboux transformations and explicit solutions are considered. The transfer matrix function representation of the fundamental solution yields solution of an inverse problem, namely, the problem to recover system from its Weyl function. Weyl theories of selfadjoint and skew-selfadjoint Dirac systems, related canonical systems, discrete Dirac systems, system auxiliary to the N-wave equation and a system rationally depending on the spectral parameter are obtained in this way. The results on direct and inverse problems are applied in turn to the study of the initial-boundary value problems for integrable (nonlinear) wave equations via inverse spectral transformation method. Evolution of the Weyl function and solution of the initial-boundary value problem in a semi-strip are derived for many important nonlinear equations. Some uniqueness and global existence results are also proved in detail using evolution formulas. The reading of the book requires only some basic knowledge of linear algebra, calculus and operator theory from the standard university courses.

Author : Genni Fragnelli,Dimitri Mugnai
Publisher : Springer Nature
Page : 105 pages
File Size : 45,5 Mb
Release : 2021-04-06
Category : Mathematics
ISBN : 9783030693497

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Control of Degenerate and Singular Parabolic Equations by Genni Fragnelli,Dimitri Mugnai Pdf

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.

Author : Luis L. Bonilla
Publisher : Springer
Page : 200 pages
File Size : 53,7 Mb
Release : 2009-06-19
Category : Mathematics
ISBN : 9783540785477

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Inverse Problems and Imaging by Luis L. Bonilla Pdf

Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics.

Author : Andrei A. Agrachev,A. Stephen Morse,Eduardo D. Sontag,Hector J. Sussmann,Vadim I. Utkin
Publisher : Springer
Page : 360 pages
File Size : 40,5 Mb
Release : 2008-06-24
Category : Science
ISBN : 9783540776536

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Nonlinear and Optimal Control Theory by Andrei A. Agrachev,A. Stephen Morse,Eduardo D. Sontag,Hector J. Sussmann,Vadim I. Utkin Pdf

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.

Author : Anonim
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 54,5 Mb
Release : 2008
Category : Electronic
ISBN : 9783540776444

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Nonlinear and Optimal Control Theory by Anonim Pdf