caa a22 4500 475741269 CHVBK 20180406123500.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1007/BF02675347 doi (NATIONALLICENCE)springer-10.1007/BF02675347 Krutitskii P. M. V. Lomonosov Moscow State University, USSR aut The first initial boundary value problem for a compound type equation in a three-dimensional multiply connected region [Elektronische Daten] [P. Krutitskii] The method of boundary integral equations is used for solving the first initial boundary value problem for a compound type equation in a three-dimensional multiply connected region. The problem is reduced to a uniquely solvable integral equation. The solution of the problem is obtained in the form of dynamic potentials whose density satisfies this integral equation. Thus the existence theorem is proved. Moreover, the uniqueness of the solution is also studied. All the results are valid for both interior and exterior regions provided that the corresponding conditions at infinity are taken into account. Kluwer Academic/Plenum Publishers, 2000 compound type equation nationallicence first initial boundary value problem nationallicence three-dimensional multiply connected region nationallicence integral equation nationallicence dynamic potential nationallicence existence and uniqueness theorem nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/2(2000-08-01), 217-231 0001-4346 68:2<217 2000 68 11006 https://doi.org/10.1007/BF02675347 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02675347 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krutitskii P. M. V. Lomonosov Moscow State University, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/2(2000-08-01), 217-231 0001-4346 68:2<217 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer