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Differential Equations

Inverse and Direct Problems

Edited by Angelo Favini, Alfredo Lorenzi

Series Editor: Zuhair Nashed, Earl Taft

Contributors: Gisele Ruiz Goldstein, Silvia Romanelli, Atsushi Yagi, Hiroki Tanabe, Valeria Berti, Fabrizio Colombo, Mauro Fabrizio, Stefania Gatti, Matthias Geissert, Jerome A. Goldstein, Maurizio Grasselli, Berenice Grec, Davide Guidetti, Matthias Hieber, Ismail Kombe, Rabah Labbas, Fabio Luterotti, Stephane Maingot, Alain Miranville, Noboru Okazawa, Evgeniy Radkevich, Giulio Schimperna, Ulisse Stefanelli, Vincenzo Vespri, Mohammed Al-Horani

Published June 9th 2006 by Chapman and Hall/CRC – 304 pages

Series: Lecture Notes in Pure and Applied Mathematics

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    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.

    Reviews

    "…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

    Contents

    DEGENERATE FIRST ORDER IDENTIFICATION PROBLEMS IN BANACH SPACES

    A NONISOTHERMAL DYNAMICAL GINZBURG-LANDAU MODEL OF SUPERCONDUCTIVITY. EXISTENCE AND UNIQUENESS THEOREMS

    SOME GLOBAL IN TIME RESULTS FOR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEMS

    FOURTH ORDER ORDINARY DIFFERENTIAL OPERATORS WITH GENERAL WENTZELL BOUNDARY CONDITION

    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 EQUATION 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-LAPACE MULTIPLIERS

    IDENTIFICATION PROBLEMS FOR NONAUTONOMOUS DEGENERATE INTEGRODIFFERENTIAL EQUATIONS OF PARABOLIC TYPE WITH DIRICHLET BOUNDARY CONDITIONS

    EXISTENCE RESULTS FOR A PHASE TRANSITION MODEL ON MICROSCOPIC MOVEMENTS

    STRONG L2-WELLPOSEDNESS IN THE COMPLEX GINZBURG-LANDAU EQUATION

    Name: Differential Equations: Inverse and Direct Problems (Paperback) – Chapman and Hall/CRC 
    Description: Edited by Angelo Favini, Alfredo LorenziSeries Editor: Zuhair Nashed, Earl TaftContributors: Gisele Ruiz Goldstein, Silvia Romanelli, Atsushi Yagi, Hiroki Tanabe, Valeria Berti, Fabrizio Colombo, Mauro Fabrizio, Stefania Gatti, Matthias Geissert, Jerome A. Goldstein, Maurizio Grasselli, Berenice Grec, Davide Guidetti, Matthias Hieber, Ismail Kombe, Rabah Labbas, Fabio Luterotti, Stephane Maingot, Alain Miranville, Noboru Okazawa, Evgeniy Radkevich, Giulio Schimperna, Ulisse Stefanelli, Vincenzo Vespri, Mohammed Al-Horani. 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...
    Categories: Differential Equations, Applied Mathematics, Mathematics & Statistics for Engineers