Partial Differential Equations in Action

Complements and Exercises
2015
ISBN: 978-3-319-15415-2
Verlag: Springer International Publishing

Buch, Englisch, 431 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 6613 g

Reihe: La Matematica per il 3+2

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Verzini, Gianmaria

Salsa, Sandro

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Mathematische Modellierung
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.

Über Autor(innen)

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