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- W1993577900 abstract "The spherical means of the solutions of a linear partial differential equation $Lu = f$ in a conical region are studied. The conical region is bounded by a surface generated by curvilinear $xi $ lines and by two truncating $xi $ surfaces. The spherical mean is the average of u over a constant $xi $ surface. Conditions on the linear differential operator, L, and on the orthogonal coordinates $xi $, $eta $ ,$xi $ are established so that the problem for the determination of the spherical mean of the solution subjected to the appropriate boundary and initial conditions can be reduced to a problem with only one space variable. Conditions are then established so that the spherical mean of the solution in one conical region will be proportional to that of a known solution in another conical region. Applications to various problems of mathematical physics and their physical interpretations are presented." @default.
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- W1993577900 date "1975-12-01" @default.
- W1993577900 modified "2023-09-27" @default.
- W1993577900 title "Spherical Means of Solutions of Partial Differential Equations in a Conical Region" @default.
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- W1993577900 doi "https://doi.org/10.1137/0129050" @default.
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