Strong solvability in the Sobolev space W-2, (p)(Omega) is proved for the oblique derivative problem Sigma (j, i=1)n a(ij)(x)D(ij)u = f(x) almost everywhere in Omega, partial derivativeu/partial derivativel + sigma (x)u = phi (x) in the trace sense on partial derivative Omega in the case when the vector field l(x) has a contact of infinite order with partial derivative Omega at the points of some non-empty subset E subset of partial derivative Omega.
A singular boundary value problem for uniformly elliptic operators
Palagachev, DK;
2001-01-01
Abstract
Strong solvability in the Sobolev space W-2, (p)(Omega) is proved for the oblique derivative problem Sigma (j, i=1)n a(ij)(x)D(ij)u = f(x) almost everywhere in Omega, partial derivativeu/partial derivativel + sigma (x)u = phi (x) in the trace sense on partial derivative Omega in the case when the vector field l(x) has a contact of infinite order with partial derivative Omega at the points of some non-empty subset E subset of partial derivative Omega.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
