an:00968629
Zbl 0864.35067
Jokhadze, O.
Spatial problem of Darboux type for one model equation of third order
EN
Georgian Math. J. 3, No. 6, 547-564 (1996).
00038015
1996
j
35L35 35A05
dihedral angle
Summary: For a hyperbolic type model equation of third order a Darboux type problem is investigated in a dihedral angle. It is shown that there exists a real number \(\rho_0\) such that for \(\alpha>\rho_0\) the problem under consideration is uniquely solvable in the Fr??chet space. In the case where the coefficients are constants, Bochner's method is developed in multi-dimensional domains, and used to prove the unique solvability of the problem both in Fr??chet and in Banach spaces.