Boundary value problems of mathematical physics

Ivar Stakgold9780898714562, 0898714567

For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green’s functions and using eigenvalue expansions.
Now a part of SIAM’s Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory–subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.

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Table of contents :
ISBN 0898714567 ……Page 1
Boundary Value Problems of Mathematical Physics Volume II……Page 3
Table of Contents……Page 7
Volume II:Preface……Page 11
Volume II:Chapter 5 DISTRIBUTIONS AND GENERALIZED SOLUTIONS……Page 13
Volume II:Chapter 6 POTENTIAL THEORY……Page 100
Volume II:Chapter 7 EQUATIONS OF EVOLUTION……Page 206
Volume II:Chapter 8 VARIATIONAL AND RELATED METHODS……Page 344
Volume II:Appendix A SPHERICAL HARMONICS……Page 405
Volume II:Appendix B ASYMPTOTIC EXPANSIONS……Page 411
SUGGESTED ADDITIONAL READINGS……Page 415
Index……Page 417