Differential Equations: Inverse and Direct Problems: Lecture Notes in Pure and Applied Mathematics
Editat de Angelo Favini, Alfredo Lorenzien Limba Engleză Paperback – 9 iun 2006
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.
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Specificații
ISBN-13: 9781584886044
ISBN-10: 1584886048
Pagini: 294
Ilustrații: 50 b/w images and 500 equations
Dimensiuni: 178 x 254 x 16 mm
Greutate: 0.54 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Lecture Notes in Pure and Applied Mathematics
ISBN-10: 1584886048
Pagini: 294
Ilustrații: 50 b/w images and 500 equations
Dimensiuni: 178 x 254 x 16 mm
Greutate: 0.54 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Lecture Notes in Pure and Applied Mathematics
Public țintă
ProfessionalCuprins
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.
Recenzii
"…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
-EMS Newsletter, June 2007
Descriere
Differential Equations: Inverse and Direct Problems presents a collection of research papers and surveys on differential equations. This book covers topics in various disciplinary fields, including differential equations in Banach spaces, integro-differential equations, models in superconductivity, hyperbolic partial differential equations, physical interpretation of general Wentzell boundary conditions, blowup of solutions, reaction-diffusion equation with memory, and Navier-Stokes equations. With contributions from leading experts, this text is ideal for mathematicians specializing in partial differential equations and Banach spaces.