Elliptic Boundary Value Problems in the Spaces of Distributions [1 ed.] 0792343034, 9780792343035
`The book is well written and deals well with a topic which requires great care and attention to detail. It is an excell
276 30 4MB
English Pages 420 [432] Year 1996
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
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
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