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Partial Differential Equations in Action : Complements and Exercises / by Sandro Salsa, Gianmaria Verzini.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Salsa, S., Author.
- Verzini, Gianmaria., Author.
- Series:
- La Matematica per il 3+2, 2038-5757 ; 87
- Language:
- English
- Subjects (All):
- Functional analysis.
- Differential equations.
- Mathematical physics.
- Functional Analysis.
- Differential Equations.
- Mathematical Physics.
- Local Subjects:
- Functional Analysis.
- Differential Equations.
- Mathematical Physics.
- Physical Description:
- 1 online resource (VIII, 431 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- 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.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- ISBN:
- 3-319-15416-8
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