Kharibegashvili, Sergo On the solvability of a multidimensional version of the Goursat problem for a second order hyperbolic equation with characteristic degeneration. (English) Zbl 0910.35082 Mem. Differ. Equ. Math. Phys. 11, 89-103 (1997). Summary: A multidimensional version of the Goursat problem is considered for a second order hyperbolic equation with characteristic degenerating. Using the technique of functional spaces with a negative norm the correct formulation of this problem in a weighted Sobolev space is given. Cited in 1 Document MSC: 35L80 Degenerate hyperbolic equations 35L20 Initial-boundary value problems for second-order hyperbolic equations Keywords:multidimensional version of the Goursat problem; weighted Sobolev space PDFBibTeX XMLCite \textit{S. Kharibegashvili}, Mem. Differ. Equ. Math. Phys. 11, 89--103 (1997; Zbl 0910.35082) Full Text: EuDML EMIS