Geodesic
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. 
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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/

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