The Dirichlet Problem for Harmonic Functions with Boundary Values from Zygmund Classes

Verfasser / Beitragende:
[V. Kokilashvili, V. Paatashvili]
Ort, Verlag, Jahr:
2003
Enthalten in:
Georgian Mathematical Journal, 10/3(2003-09), 531-542
Format:
Artikel (online)
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024 7 0 |a 10.1515/GMJ.2003.531  |2 doi 
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245 0 4 |a The Dirichlet Problem for Harmonic Functions with Boundary Values from Zygmund Classes  |h [Elektronische Daten]  |c [V. Kokilashvili, V. Paatashvili] 
520 3 |a We investigate the Dirichlet problem in domains with nonsmooth boundaries when a boundary function belongs to functional classes of the Zygmund class type. A complete picture of solvability is established also in the case of existence of solutions for which explicit expressions are found. 
540 |a © Heldermann Verlag 
690 7 |a harmonic function  |2 nationallicence 
690 7 |a Zygmund class  |2 nationallicence 
690 7 |a Dirichlet problem  |2 nationallicence 
690 7 |a non-smooth boundaries  |2 nationallicence 
700 1 |a Kokilashvili  |D V.  |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: kokil@rmi.acnet.ge  |4 aut 
700 1 |a Paatashvili  |D V.  |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: paata@rmi.acnet.ge  |4 aut 
773 0 |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 10/3(2003-09), 531-542  |x 1072-947X  |q 10:3<531  |1 2003  |2 10  |o GMJ 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kokilashvili  |D V.  |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: kokil@rmi.acnet.ge  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Paatashvili  |D V.  |u A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi 0193, Georgia. E-mail: paata@rmi.acnet.ge  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Georgian Mathematical Journal  |d Walter de Gruyter GmbH & Co. KG  |g 10/3(2003-09), 531-542  |x 1072-947X  |q 10:3<531  |1 2003  |2 10  |o GMJ 
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