Sergo Kharibegashvili

On The Solvability of a Multidimensional Version of the Goursat Problem for a Second Order Hyperbolic Equation With Characteristic Degeneration

abstract:
A multidimensional version of the Goursat problem is considered for a second order hyperbolic equation with characteristic degeneration. Using the technique of functional spaces with a negative norm the correct formulation of this problem in the Sobolev weighted space is given.

Mathematics Subject Classification: 35L80.

Key words and phrases: Hyperbolic equation with characteristic degeneration, multidimensional version of the Goursat problem, Sobolev weighted space, functional space with a negative norm.