1 edition of **Direct and Inverse Problems of Mathematical Physics** found in the catalog.

- 142 Want to read
- 36 Currently reading

Published
**2000**
by Springer US in Boston, MA
.

Written in English

- Mathematics,
- Mathematical optimization,
- Functions of complex variables,
- Partial Differential equations

The book consists of state-of-the-art chapters on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo-differential operators, and semigroup theory. Audience: Researchers working in the field as well as scientists interested in the applications.

**Edition Notes**

Statement | edited by Robert P. Gilbert, Joji Kajiwara, Yongzhi S. Xu |

Series | International Society for Analysis, Applications and Computation -- 5, International Society for Analysis, Applications and Computation -- 5 |

Contributions | Kajiwara, Joji, Xu, Yongzhi S. |

Classifications | |
---|---|

LC Classifications | QA370-380 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (vii, 453 p.) |

Number of Pages | 453 |

ID Numbers | |

Open Library | OL27032582M |

ISBN 10 | 144194818X, 1475732147 |

ISBN 10 | 9781441948182, 9781475732146 |

OCLC/WorldCa | 851704858 |

Inverse Problems in Mathematical Physics by Lassi Paivarinta, , available at Book Depository with free delivery :// Inverse problems for partial differential equations (PDEs) are of great importance in the areas of applied mathematics, whichcover different mathematical branches including PDEs, functional analysis, nonlinear analysis,optimizations, regularization and numerical

This book provides researchers and engineers in the imaging field with the skills they need to effectively deal with nonlinear inverse problems associated with different imaging modalities, including impedance imaging, optical tomography, elastography, and electrical source :// This book discusses the development of radio-wave tomography methods as a means of remote non-destructive testing, diagnostics of the internal structure of semi-transparent media, and reconstruction of the shapes of opaque objects based on multi-angle sounding. It describes physical-mathematical models of systems designed to reconstruct images of hidden objects, based on tomographic processing

This book provides a comprehensive introduction to the techniques, tools and methods for inverse problems and data assimilation, and is written at the interface between mathematics and applications for students, researchers and developers in mathematics, physics, engineering, acoustics, electromagnetics, meteorology, biology, environmental and other applied :// Under small norm conditions, both the direct and the inverse problems areshown to be uniquely solvable. The inverse data are characterized by certain nonlinear equations. Furthermore, the general problem of reconstructing the potential is reduced to the reconstruction of $2 \times 2$ ://

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This volume has the title Direct and Inverse Problems of Mathematical Physics which consists of the papers on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo Buy Direct and Inverse Problems of Mathematical Physics (International Society for Analysis, Applications and Computation) on FREE SHIPPING on qualified orders COVID Resources.

Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus It includes two items concerning mathematical physics published in Lectures on Cauchy's problem in linear partial differential equations by J.

Hadamard and the twovolume book [57] by :// /_Inverse_Problems_of_Mathematical_Physics. Direct and Inverse Problems of Mathematical Physics 英文书摘要 The book consists of state-of-the-art chapters on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo-differential operators, and semigroup Mathematical modeling used in many current applied problems of science and technology underlines the need for numerical solution of inverse problems in Mathematical ent The book contains presentations of recent and ongoing research on inverse problems and its application to engineering and physical sciences.

The articles are structured around three closely related topics: Inverse scattering problems, inverse boundary value problems, and inverse spectral :// This book presents a complete solution of the direct and inverse scattering problems for matrix Schrödinger equations on the half line with general boundary conditions.

This is a fundamental problem important to current research in applied mathematics and in mathematical › Mathematics › Dynamical Systems & Differential Equations. The second part of the book presents three special nonlinear inverse problems in detail - the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem.

The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on › Books › Science & Math › Mathematics. This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals.

A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation Foreword by V.G.

Yakhno INTRODUCTION Inverse problem concept: examples of formulating inverse problems On correctness of direct and inverse problems of mathematical physics INVERSE PROBLEMS FOR THE OPERATOR #TEX2HTML_WRAP_INLINE# Problems with nonfocused initial data Some aspects associated with the inverse problem for the equation Problems The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics.

We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and ?language=en. Direct and inverse problems of mathematical physics edited by Robert P. Gilbert, Joji Kajiwara and Yongzhi S.

Xu （International Society for Analysis, Applications, and Computation, v. 5） Kluwer Academic, In the first chapter the authors prove the one-to-one correspondence between solutions of direct Cauchy problems for equations of different types, and they present the solution of an inverse problem of heat conduction.

In the second chapter they consider a second-order hyperbolic equation describing a wave process in three-dimensional =TRANS Direct and inverse problems of mathematical physics. Cached. Download Links [] Save to List; {Direct and inverse problems of mathematical physics}, year = {}} Share.

OpenURL. Abstract. in the generalized Sobolev spaces Wm,p(x)(Rn) by. Keyphrases. inverse problem mathematical physic generalized sobolev space wm Powered by: ?doi= Direct And Inverse Problems Of Mathematical Physics. Search. Search for: Search. Recent Search.

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This generally occurs whenever the state variable, charged to describe the physical state of the system which is modelled by a suitable evolution Inverse Problems of Mathematical Physics AIP Translation: : V. Glasko, Adam Bincer: Libros en idiomas extranjeros Special Issue "Direct and Inverse Problems for Fractional Differential Equations" Special Issue Editors and fractional differential equations in particular, are becoming an increasingly important tool for mathematical modeling, and, accordingly, are of increasing interest to researchers.

This paper deals with inverse problems related to. Inverse problems are those where a set of measured results is analyzed in order to get as much information as possible on a “model” which is proposed to represent a system in the real world.

Exact inverse problems are related to most parts of mathematics. Applied inverse problems are the keys to other sciences. Hence the field, which is very wealthy, yields the best example of springer, This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography.

The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered › Home › Catalog. plications in the scattering theory and inverse problems. Here we have considered for the ﬁrst time some classical direct scattering problems for the Schrodinger op-¨ erator and for the magnetic Schrodinger operator with singular (locally unbounded)¨ coefﬁcients including the mathematical foundations of the classical approximation of M.