Partial Differential Equations in Action
Details
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.
Can be used in all basic and advanced PDE courses Offers a variety of complete solutions, carefully explained Provides a great variety of exercises
Autorentext
Sandro Salsa is a Emeritus Professor of Mathematical Analysis at Politecnico of Milan, where he has been one of the main founders of the educational program in Mathematical Engineering. His research interest ranges over diverse aspects of nonlinear, nonlocal, singular or degenerate elliptic and parabolic equations, with particular emphasis on boundary behavior, regularity and free boundary problems. He is an author of 14 books and several papers in the most prestigious scientific mathematical journals. Gianmaria Verzini is a Professor of Mathematical Analysis at the Department of Mathematics of the Politecnico of Milan. He is author of 5 books and more than 50 papers, published on prominent international journals. His scientific interests concern the applications of Nonlinear Analysis to the existence, multiplicity, qualitative properties and regularity of solutions to nonlinear differential equations and systems.
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783319154152
- Sprache Englisch
- Auflage 2015
- Größe H235mm x B155mm x T24mm
- Jahr 2015
- EAN 9783319154152
- Format Kartonierter Einband
- ISBN 331915415X
- Veröffentlichung 12.05.2015
- Titel Partial Differential Equations in Action
- Autor Sandro Salsa , Gianmaria Verzini
- Untertitel Complements and Exercises
- Gewicht 663g
- Herausgeber Springer
- Anzahl Seiten 440
- Lesemotiv Verstehen
- Genre Mathematik