Harmonic wavelets in boundary value problems for harmonic and biharmonic functions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 281-296
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We consider boundary value problems in a disk and in a ring for homogeneous equations with the Laplace operator of the first and second orders. Solutions are represented in terms of bases of harmonic wavelets in Hardy spaces in a disk and in a ring, which were constructed earlier.
Keywords:
Laplace operator, harmonic and biharmonic functions, boundary value problems, harmonic wavelets, disk, ring.
@article{TIMM_2010_16_4_a26,
author = {Yu. N. Subbotin and N. I. Chernykh},
title = {Harmonic wavelets in boundary value problems for harmonic and biharmonic functions},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {281--296},
publisher = {mathdoc},
volume = {16},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a26/}
}
TY - JOUR AU - Yu. N. Subbotin AU - N. I. Chernykh TI - Harmonic wavelets in boundary value problems for harmonic and biharmonic functions JO - Trudy Instituta matematiki i mehaniki PY - 2010 SP - 281 EP - 296 VL - 16 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a26/ LA - ru ID - TIMM_2010_16_4_a26 ER -
%0 Journal Article %A Yu. N. Subbotin %A N. I. Chernykh %T Harmonic wavelets in boundary value problems for harmonic and biharmonic functions %J Trudy Instituta matematiki i mehaniki %D 2010 %P 281-296 %V 16 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a26/ %G ru %F TIMM_2010_16_4_a26
Yu. N. Subbotin; N. I. Chernykh. Harmonic wavelets in boundary value problems for harmonic and biharmonic functions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 281-296. http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a26/