caa a22 4500 475742028 CHVBK 20180406123502.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/BF02676333 doi (NATIONALLICENCE)springer-10.1007/BF02676333 Mirsaburov M. V. I. Romanovskii Institute of Mathematics, Uzbek Academy of Sciences, Tashkent aut A nonlocal boundary-value problem for the gellerstedt equation [Elektronische Daten] [M. Mirsaburov] We consider the boundary-value problem for the Gellerstedt equation $$Signy\left| y \right|^m u_{xx} + u_{yy} = 0,$$ wherem=const > 0, in a mixed region; in contrast to the Tricomi problem, nonlocal conditions pointwise connecting the boundary valuesu(x, y) with the values on an inner curve and on the line of degeneracy are assumed on some arcs of the elliptic part of the boundary, and a condition with displacement is assumed on the characteristic parts of the boundary. Under certain constraints on the functions in the boundary conditions, we prove the unique solvability of the problem considered. Kluwer Academic/Plenum Publishers, 2000 Gellerstedt equation nationallicence boundary-value problem nationallicence nonlocal boundary conditions nationallicence unique solvability nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 611-617 0001-4346 67:5<611 2000 67 11006 https://doi.org/10.1007/BF02676333 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676333 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mirsaburov M. V. I. Romanovskii Institute of Mathematics, Uzbek Academy of Sciences, Tashkent aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/5(2000-05-01), 611-617 0001-4346 67:5<611 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer