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On the solvability of a multidimensional version of the Goursat problem for a second order hyperbolic equation with characteristic degeneration. (English) Zbl 0910.35082

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.

MSC:

35L80 Degenerate hyperbolic equations
35L20 Initial-boundary value problems for second-order hyperbolic equations
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