On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions
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JITARAŞU, Nicolae. On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 1(68), pp. 81-89. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(68) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322

On asymptotic representation of singular solutions of the model elliptic equation near boundary and formulation of singular boundary conditions

Pag. 81-89

Jitaraşu Nicolae
 
Moldova State University
 
 
Disponibil în IBN: 8 decembrie 2013


Rezumat

In the work the asymptotic representation of singular solution of the elliptic model Sobolev problem near components of arbitrary dimensions of boundary is specified. Using this asymptotical representation of solutions, the singular bound- ary conditions are formulated. The solvability of boundary problem with singular boundary conditions is proved.

Cuvinte-cheie
Sobolev boundary problem, asymptotic representation of singular solutions, singular boundary conditions

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