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Representation of solutions of the two-dimensional gravitational- gyroscopic wave equation by generalized Taylor and Laurent series. (English. Russian original) Zbl 0777.35084

U.S.S.R. Comput. Math. Math. Phys. 30, No. 6, 93-102 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 11, 1728-1740 (1990).
A two-dimensional equation of gravitationally gyroscopic waves is considered. Expansions of solutions of this equation in Taylor and Laurent series are constructed. They are used to study the Dirichlet problem in a half-plane. The methods of the paper are similar to those of analytic function theory.

MSC:

35Q75 PDEs in connection with relativity and gravitational theory
35C10 Series solutions to PDEs
83C35 Gravitational waves
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