Potentials And Partial Differential Equations

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Potentials and Partial Differential Equations

Author: Suzanne Lenhart
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2023-05-22
This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
Function Spaces and Potential Theory

Author: David R. Adams
language: en
Publisher: Springer Science & Business Media
Release Date: 1999-11-22
"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society
Partial Differential Equations in Action

This textbook presents problems and exercises at various levels of difficulty in the following areas: Classical Methods in PDEs (diffusion, waves, transport, potential equations); Basic Functional Analysis and Distribution Theory; Variational Formulation of Elliptic Problems; and Weak Formulation for Parabolic Problems and for the Wave Equation. Thanks to the broad variety of exercises with complete solutions, it can be used in all basic and advanced PDE courses.