ON ASYMPTOTIC REPRESENTATION OF SINGULAR SOLUTIONS OF THE MODEL ELLIPTIC EQUATION NEAR BOUNDARY AND FORMULATION OF SINGULAR BOUNDARY CONDITIONS
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Academy of Sciences of Moldova
Abstract
In the work the asymptotic representation of singular solut
ion of the
elliptic model Sobolev problem near components of arbitrar
y dimensions of boundary
is specified. Using this asymptotical representation of sol
utions, the singular bound-
ary conditions are formulated. The solvability of boundary
problem with singular
boundary conditions is proved.
Description
Citation
JITARAȘU, N. On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions. In: Buletinul Academiei de Științe a Republicii Moldova. Matematica. 2012, nr.1, pp. 81-89