Pletner, Yu. D. 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. Reviewer: D.R.Yafaev (Rennes) Cited in 1 Document MSC: 35Q75 PDEs in connection with relativity and gravitational theory 35C10 Series solutions to PDEs 83C35 Gravitational waves Keywords:Taylor expansion; Laurent expansion; gravitationally gyroscopic waves; Dirichlet problem; half-plane PDFBibTeX XMLCite \textit{Yu. D. Pletner}, U.S.S.R. Comput. Math. Math. Phys. 30, No. 6, 93--102 (1990; Zbl 0777.35084); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 11, 1728--1740 (1990) Full Text: DOI