Partial Differential Equations in Action Complements and Exercises /

• Main Authors: Salsa, Sandro (Author), Verzini, Gianmaria (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: UNITEXT, 87
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Mathematical physics.; Functional Analysis.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Mathematical Physics.

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 fo...

Table of Contents:

• 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.