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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 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

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.

MSC: 35H99

Received: 02.11.2009

Language: English



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