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＜E-Book＞
Partial differential equations : an accessible route through theory and applications / Andras Vasy
(Graduate Studies in Mathematics ; v. 169)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2015]
Size	1 online resource (x, 281 pages)
Authors	*Vasy, Andr�as author
Subjects	LCSH:Differential equations, Partial -- Textbooks  All Subject Search FREE:Partial differential equations -- Instructional exposition (textbooks, tutorial papers, etc.)  All Subject Search
Contents	Chapter 1. Introduction Chapter 2. Where do PDE come from? Chapter 3. First order scalar semilinear equations Chapter 4. First order scalar quasilinear equations Chapter 5. Distributions and weak derivatives Chapter 6. Second order constant coefficient PDE: Types and d'Alembert's solution of the wave equation Chapter 7. Properties of solutions of second order PDE: Propagation, energy estimates and the maximum principle Chapter 8. The Fourier transform: Basic properties, the inversion formula and the heat equation Chapter 9. The Fourier transform: Tempered distributions, the wave equation and Laplace's equation Chapter 10. PDE and boundaries Chapter 11. Duhamel's principle Chapter 12. Separation of variables Chapter 13. Inner product spaces, symmetric operators, orthogonality Chapter 14. Convergence of the Fourier series and the Poisson formula on disks Chapter 15. Bessel functions Chapter 16. The method of stationary phase Chapter 17. Solvability via duality Chapter 18. Variational problems
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2015 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/169 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/169 Information=Contents

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