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.
Inhoudsopgave
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.Over de auteur
Prof. Sandro Salsa and Prof. Gianmaria Verzini, Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.
Taal Engels ● Formaat PDF ● Pagina’s 431 ● ISBN 9783319154169 ● Uitgeverij Springer International Publishing ● Stad Cham ● Land CH ● Gepubliceerd 2015 ● Downloadbare 24 maanden ● Valuta EUR ● ID 4273722 ● Kopieerbeveiliging Sociale DRM