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A Singular Boundary Value Problem for Uniformly Elliptic Operators

✍ Scribed by Antonino Maugeri; Dian K Palagachev; Carmela Vitanza

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
142 KB
Volume
263
Category
Article
ISSN
0022-247X

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✦ Synopsis

Strong solvability in the Sobolev space W 2 p is proved for the oblique derivative problem

almost everywhere in ∂u/∂ + σ x u = ϕ x in the trace sense on ∂ in the case when the vector field x has a contact of infinite order with ∂ at the points of some non-empty subset E ⊂ ∂ .

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