Elliptic Boundary Value Problems in the Spaces of Distributions [Hardcover]

Preface. 0. Introduction. 1. Functional Spaces. 2. Space Hs,p,(r)(Omega) 3. Elliptic Boundary-Value Problem. 4. Theorem on Complete Collection of Isomorphisms. 5. Elliptic Problems with Normal Boundary Conditions. 6. Traces of Generalized Solutions of Elliptic Equations on the Boundary of the Domain. 7. Local Increase in the Smoothness of Generalized Solutions of Elliptic Boundary-Value Problems, Green's Functions. 8. Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems. 9. Elliptic Boundary-Value Problems with a Parameter. 10. Elliptic Boundary-Value Problems for Systems of Equations. Bibliographical Notes. References. Subject Index. Notation.`The book is well written and deals well with a topic which requires great care and attention to detail. It is an excellent digest of known results for this problem and a valuable reference for those who wish to apply known results for problem (1) to various other disciplines.'
SIAM Review, 40:1 (1998)