Strongly elliptic systems and boundary integral equations
Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first published in 2000, treats one class of such equations, concentrating on methods involving the use of surface potentials, and provides an ideal preparation for studying the modern research literature on boundary element methods.
xiv, 357 p. ; 24 cm
9780521663328, 9780521663755, 0521663326, 052166375X
1026219322
Introduction; 1. Abstract linear equations; 2. Sobolev spaces; 3. Strongly elliptic systems; 4. Homogeneous distributions; 5. Surface potentials; 6. Boundary integral equations; 7. The Laplace equation; 8. The Helmholtz equation; 9. Linear elasticity; Appendix A. Extension operators for Sobolev spaces; Appendix B. Interpolation spaces; Appendix C. Further properties of spherical harmonics; Index of notation; Index.