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 / Maugeri, A; Palagachev, Dk; Vitanza, C. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 263:1(2001), pp. 33-48. [10.1006/jmaa.2001.7576]
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
