Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains
Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 365-374
Voir la notice de l'article provenant de la source Math-Net.Ru
We obtain a geometric description of the set of solutions of the Helmholtz
equation on unbounded domains.
Keywords:
Helmholtz equation, ball means, spherical means, eigenfunctions of the Laplace operator.
@article{IM2_2012_76_2_a6,
author = {O. A. Ochakovskaya},
title = {Theorems on ball mean values for solutions of the {Helmholtz} equation on unbounded domains},
journal = {Izvestiya. Mathematics },
pages = {365--374},
publisher = {mathdoc},
volume = {76},
number = {2},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a6/}
}
TY - JOUR AU - O. A. Ochakovskaya TI - Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains JO - Izvestiya. Mathematics PY - 2012 SP - 365 EP - 374 VL - 76 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a6/ LA - en ID - IM2_2012_76_2_a6 ER -
O. A. Ochakovskaya. Theorems on ball mean values for solutions of the Helmholtz equation on unbounded domains. Izvestiya. Mathematics , Tome 76 (2012) no. 2, pp. 365-374. http://geodesic.mathdoc.fr/item/IM2_2012_76_2_a6/