Dirichlet, Neumann and mixed Dirichlet-Neumann boundary value problems for Uxy = 0 in rectangles
1978 ◽
Vol 82
(1-2)
◽
pp. 107-110
◽
Keyword(s):
SynopsisIt is well known that the Dirichlet problem for hyperbolic equations is a classical “not well posed” problem. Here we consider the Dirichlet, Neumann and mixed Dirichlet-Neumann boundary value problems for the hyperbolic equation uxy = 0 in all positions of the square and a class of rectangles. We also get a partial answer to the problem which deals with a ray that moves from any point on the boundary of a rectangle and is reflected on the boundary such that the angle between every ray and its reflection is π/2.
2013 ◽
Vol 31
(1_2)
◽
pp. 87-97
◽
2001 ◽
Vol 33
(10)
◽
pp. 18
1998 ◽
Vol 110
(4)
◽
pp. 535-558
◽
Keyword(s):
1992 ◽
Vol 45
(8)
◽
pp. 1015-1050
◽
Keyword(s):
2014 ◽
Vol 233
◽
pp. 62-71
◽