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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.
Received: 02.11.2009
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
Linking options:
https://www.mathnet.ru/eng/emj17 https://www.mathnet.ru/eng/emj/v1/i2/p59
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