
Differential Equations
Inverse and Direct Problems
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 9. June 2006
Book
Paperback/Softback
294 pages
978-1-58488-604-4 (ISBN)
Description
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 scientific fields.
Exploring the hypotheses and numerical approaches that relate to pure and applied mathematics, this collection of research papers and surveys extends the theories and methods of differential equations. The book begins with discussions on Banach spaces, linear and nonlinear theory of semigroups, integrodifferential equations, the physical interpretation of general Wentzell boundary conditions, and unconditional martingale difference (UMD) spaces. It then proceeds to deal with models in superconductivity, hyperbolic partial differential equations (PDEs), blowup of solutions, reaction-diffusion equation with memory, and Navier-Stokes equations. The volume concludes with analyses on Fourier-Laplace multipliers, gradient estimates for Dirichlet parabolic problems, a nonlinear system of PDEs, and the complex Ginzburg-Landau equation.
By combining direct and inverse problems into one book, this compilation is a useful reference for those working in the world of pure or applied mathematics.
Exploring the hypotheses and numerical approaches that relate to pure and applied mathematics, this collection of research papers and surveys extends the theories and methods of differential equations. The book begins with discussions on Banach spaces, linear and nonlinear theory of semigroups, integrodifferential equations, the physical interpretation of general Wentzell boundary conditions, and unconditional martingale difference (UMD) spaces. It then proceeds to deal with models in superconductivity, hyperbolic partial differential equations (PDEs), blowup of solutions, reaction-diffusion equation with memory, and Navier-Stokes equations. The volume concludes with analyses on Fourier-Laplace multipliers, gradient estimates for Dirichlet parabolic problems, a nonlinear system of PDEs, and the complex Ginzburg-Landau equation.
By combining direct and inverse problems into one book, this compilation is a useful reference for those working in the world of pure or applied mathematics.
Reviews / Votes
"...Almost all of the fourteen contributions contain original results; they do not just survey or explain results already published elsewhere. They cover a wide scope of up-to-date topics from the field of differential equations. ... The book will be an interesting and stimulating read for research workers in the field."-EMS Newsletter, June 2007
More details
Series
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
Professional and scholarly
Professional
Illustrations
50 s/w Abbildungen
50 Illustrations, black and white
Dimensions
Height: 254 mm
Width: 178 mm
Thickness: 16 mm
Weight
561 gr
ISBN-13
978-1-58488-604-4 (9781584886044)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
06/2006
1st Edition
Chapman & Hall/CRC
€364.99
Available for download

E-Book
06/2006
Chapman and Hall
€364.99
Available for download
Persons
Angelo Favini, Alfredo Lorenzi
Content
Degenerate first order identification problems in Banach spaces. A non-isothermal dynamical Ginzburg-Landau model of superconductivity. Some global in time results for integrodifferential parabolic inverse problems. Fourth order ordinary differential operators with general Wentzell boundary conditions. Study of elliptic differential equations in UMD spaces. Degenerate integrodifferential equations of parabolic type. Exponential attractors for semiconductor equations. Convergence to stationary states of solutions to the semilinear equa-
tion of viscoelasticity. Asymptotic behavior of a phase field system with dynamic boundary conditions. The power potential and nonexistence of positive solutions. The Model-Problem associated to the Stefan Problem with Surface Tension: an Approach via Fourier-Laplace Multipliers. Identification problems for nonautonomous degenerate integrodifferential equations of parabolic type with Dirichlet boundary conditions. Existence results for a phase transition model based on microscopic movements. Strong L2-wellposedness in the complex Ginzburg-Landau equation.
tion of viscoelasticity. Asymptotic behavior of a phase field system with dynamic boundary conditions. The power potential and nonexistence of positive solutions. The Model-Problem associated to the Stefan Problem with Surface Tension: an Approach via Fourier-Laplace Multipliers. Identification problems for nonautonomous degenerate integrodifferential equations of parabolic type with Dirichlet boundary conditions. Existence results for a phase transition model based on microscopic movements. Strong L2-wellposedness in the complex Ginzburg-Landau equation.