Existence and regularity of solution to the generalized Tricomi equation with a singular initial datum at a point |
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Authors: | Kang Qun Zhang |
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Institution: | 1. Department of Mathematics & IMS, Nanjing University, Nanjing, 210093, P. R. China
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Abstract: | In this paper, we study the existence and regularity of a solution to the initial datum problem of a semilinear generalized Tricomi equation in mixed-type domain. We suppose that an initial datum on the degenerate plane is smooth away from the origin, and has a conormal singularity at this point, then we show that in some mixed-type domain, the solution exists and is conormal with respect to the characteristic conic surface which is issued from the origin and has a cusp singularity. |
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Keywords: | Generalized Tricomi equation confluent hypergeometric function existence conormalregularity cusp singularity |
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