О регулярности обобщенных решений третьей краевой задачи для эллиптического дифференциально-разностного уравнения
Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r ⊂Q Conditions are considered which are necessary and sufficient for generalized solutions of the thir...
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Date: | 1995 |
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Main Author: | |
Format: | Article |
Language: | Russian |
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Інститут математики НАН України
1995
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Series: | Український математичний журнал |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | О регулярности обобщенных решений третьей краевой задачи для эллиптического дифференциально-разностного уравнения / Е.Л. Цветков // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 93–104. — Бібліогр.: 8 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of UkraineSummary: | Unlike the case of elliptic differential equations, generalized solutions of elliptic difference-differential equations may be not smooth in a domainQ but remain smooth only in certain subdomainsQ r ⊂Q Conditions are considered which are necessary and sufficient for generalized solutions of the third boundary-value problem to preserve smoothness on the boundary of adjacent subdomainsQ r . |
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