Partial Differential Equations in Action: Complements and Exercises

✍ Scribed by Sandro Salsa, Gianmaria Verzini (auth.)

Publisher: Springer International Publishing
Year: 2015
Tongue: English
Leaves: 433
Series: UNITEXT 87
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-viii
Diffusion....Pages 1-80
The Laplace Equation....Pages 81-147
First Order Equations....Pages 149-214
Waves....Pages 215-271
Functional Analysis....Pages 273-331
Variational Formulations....Pages 333-403
Back Matter....Pages 405-431

✦ Subjects

Functional Analysis; Partial Differential Equations; Mathematical Applications in the Physical Sciences; Mathematical Physics

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