Elliptic Boundary Value Problems in the Spaces of Distributions

Yakov Roitberg (auth.)0792343034, 9780792343035

`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)

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Table of contents :
Front Matter….Pages i-xi
Introduction….Pages 1-17
Functional Spaces….Pages 19-67
Space $$tilde H^{s,p(r)} left( Omega right)$$ ….Pages 69-84
Elliptic Boundary-Value Problem….Pages 85-93
Theorem on Complete Collection of Isomorphisms….Pages 95-144
Elliptic Problems with Normal Boundary Conditions….Pages 145-172
Traces of Generalized Solutions of Elliptic Equations on the Boundary of a Domain….Pages 173-211
Local Increase in the Smoothness of Generalized Solutions of Elliptic Boundry-Value Problems. Green’s Functions….Pages 213-247
Elliptic Problems with Power Singularities on the Right-Hand Sides. Degenerate Elliptic Problems….Pages 249-294
Elliptic Boundary-Value Problems with a Parameter….Pages 295-322
Elliptic Boundary-Value Problems for Systems of Equations….Pages 323-384
Back Matter….Pages 385-420