Partial differential equations : an accessible route through theory and applications / Andras Vasy.

Format:

Book

Author/Creator:

Vasy, András, author.

Series:

Graduate studies in mathematics ; v. 169.

Graduate Studies in Mathematics ; v. 169

Language:

English

Subjects (All):

Differential equations, Partial--Textbooks.

Differential equations, Partial.

Genre:

Textbooks.

Physical Description:

1 online resource (x, 281 pages).

Other Title:

Graduate Studies in Mathematics.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2015]

System Details:

Mode of access : World Wide Web

text file

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.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015

Description based on print version record.

Other Format:

Print version: Vasy, András, Partial differential equations :

ISBN:

9781470427856

Access Restriction:

Restricted for use by site license.