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Partial differential equations in action : complements and exercises /

by Salsa, Sandro [author.]; Verzini, Gianmaria [author.]; Chiossi, Simon G [translator.].
Material type: materialTypeLabelBookSeries: Unitext: 87.Publisher: Cham ; New York : Springer, 2015Description: viii, 422 p. ; 24 cm.ISBN: 9783319154152 (alk. paper); 331915415X (alk. paper).Uniform titles: Equazioni a derivate parziali : complementi ed esercizi. English.Subject(s): Differential equations, Partial | Differential equations, Partial -- Numerical solutions | Differential equations, Elliptic | Boundary value problems | Geometry, Differential | Functions | Diffusion | Boundary value problems | Differential equations, Elliptic | Differential equations, Partial | Differential equations, Partial -- Numerical solutions | Diffusion | Functions | Geometry, Differential
Contents:
Diffusion -- The Laplace equation -- First order equations -- Waves -- Functional analysis -- Variational formulations -- Appendix A. Sturm-Liouville, Legendre and Bessel equations -- Appendix B. Identities.
Summary: 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. -- Source other than Library of Congress.
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Includes bibliographical references.

Diffusion -- The Laplace equation -- First order equations -- Waves -- Functional analysis -- Variational formulations -- Appendix A. Sturm-Liouville, Legendre and Bessel equations -- Appendix B. Identities.

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. -- Source other than Library of Congress.

Advanced undergraduates.

Originally published in Italian: Milano : Springer, 2005, under title: Equazioni a derivate parziali : complementi ed esercizi.