Differential Equations: Inverse and Direct Problems
Angelo Favini University of Bologna, Italy
Alfredo Lorenzi Univ degli Studi di Milano, Italy
Series: Lecture Notes in Pure and Applied Mathematics Volume: 251
AVAILABLE NOW
6/9/2006
Number of Pages: 304
Covers topics in various disciplinary fields of differential equations
Features contributions from leading international experts
Examines standard as well as new research results, such as identification problems for degenerate integrodifferential equations and complete abstract second-order equations of elliptic type in a UMD Banach space
Illustrates the concepts and applications of the concepts with over 500 equations
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 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 ends 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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