On approximation of solutions of some semi-elliptic equations in $\mathbb{R}^n$
Eurasian mathematical journal, Tome 1 (2010) no. 2, pp. 59-75
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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.
@article{EMJ_2010_1_2_a3,
author = {G. V. Dallakyan},
title = {On approximation of solutions of some semi-elliptic equations in $\mathbb{R}^n$},
journal = {Eurasian mathematical journal},
pages = {59--75},
publisher = {mathdoc},
volume = {1},
number = {2},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2010_1_2_a3/}
}
G. V. Dallakyan. On approximation of solutions of some semi-elliptic equations in $\mathbb{R}^n$. Eurasian mathematical journal, Tome 1 (2010) no. 2, pp. 59-75. http://geodesic.mathdoc.fr/item/EMJ_2010_1_2_a3/