Partial Differential Equations in Action (eBook)

Complements and Exercises

Sandro Salsa, Gianmaria Verzini (Autoren)

eBook Download: PDF

2015 | 2015
VIII, 431 Seiten
Springer International Publishing (Verlag)
978-3-319-15416-9 (ISBN)

Infos

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.

Autor

Prof. Sandro Salsa and Prof. Gianmaria Verzini, Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.

Inhalt

1 Diffusion.- 2 The Laplace equation.- 3 First order equations.- 4 Waves.- 5 Functional analysis.- 6 Variational formulations.- 7 Appendix A Sturm-Liouville, Legendre and Bessel equations.- 8 Appendix B Identities.

Produkt-Details

• Erscheint lt. Verlag: 30.5.2015
• Reihe/Serie: La Matematica per il 3+2
• Reihe/Serie: UNITEXT
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Basic Functional Anaysis • Classical partial differential equations • Distribution and Sobolev spaces • Distribution Theory • Potential equation • variational formulation
• ISBN-10: 3-319-15416-8 / 3319154168
• ISBN-13: 978-3-319-15416-9 / 9783319154169