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Eurasian Mathematical Journal, 2010, Volume 1, Number 2, Pages 59–75 (Mi emj17)  

On approximation of solutions of some semi-elliptic equations in $\mathbb{R}^n$

G. V. Dallakyan

Russian–Armenian (Slavonic) State University, Yerevan, Armenia
References:
Abstract: It is proved that for some semi-elliptic equations the solution can be obtained as the limit when $\sigma\rightarrow\infty$, of the solution $u_\sigma$ of a boundary value problem in the generalised ball $B_{\sigma,\mu}$. Also an estimatie at infinity for the tempered fundamental solution is obtained.
Keywords and phrases: semi-elliptic equations, approximation of the solutions, estimates at infinity for fundamental solutions.
Received: 02.11.2009
Bibliographic databases:
Document Type: Article
MSC: 35H99
Language: English
Citation: G. V. Dallakyan, “On approximation of solutions of some semi-elliptic equations in $\mathbb{R}^n$”, Eurasian Math. J., 1:2 (2010), 59–75
Citation in format AMSBIB
\Bibitem{Dal10}
\by G.~V.~Dallakyan
\paper On approximation of solutions of some semi-elliptic equations in $\mathbb{R}^n$
\jour Eurasian Math. J.
\yr 2010
\vol 1
\issue 2
\pages 59--75
\mathnet{http://mi.mathnet.ru/emj17}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2905172}
\zmath{https://zbmath.org/?q=an:1227.35139}
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