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- W2082898717 abstract "In [1], Owen gave sufficient conditions for the uniqueness of certain mixed problems having elliptic and hyperbolic nature for the ultrahyperbolic equation. Recently, Diaz and Young [2] has obtained necessary and sufficient conditions for the uniqueness of solutions of the Dirichlet and Neumann problems involving the more general ultrahyperbolic equation The purpose of this paper is to present corresponding uniqueness conditions for the Dirichlet and Neumann problems for the singular ultrahyperbolic equation for all values of the parameter, α −∞ > α > ∞. The symbol Δ denotes the Laplace operator in the variables x 1 , …, x m , D j indicates partial differentiation with respect to the variable y j (1 ≧ J ≧ n), and the summation convention is adopted for repeated indices including ( i u 2 ), where denotes differentiation with respect to the variable x i ." @default.
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- W2082898717 date "1974-08-01" @default.
- W2082898717 modified "2023-09-23" @default.
- W2082898717 title "Uniqueness of solutions of improperly posed problems for singular ultrahyperbolic equations" @default.
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- W2082898717 doi "https://doi.org/10.1017/s1446788700019157" @default.
- W2082898717 hasPublicationYear "1974" @default.
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