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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.
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SIAM Review, 40:1 (1998)
Reihe
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Dateigröße
ISBN-13
978-94-011-5410-9 (9789401154109)
DOI
10.1007/978-94-011-5410-9
Schweitzer Klassifikation
0. Introduction.- 1. Functional Spaces.- 2. Space $$\tilde H^{s,p(r)} \left( \Omega \right)$$.- 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.- Notation.
