Yagdjian, K.; Galstian, A. The Klein-Gordon equation in anti-de Sitter spacetime. (English) Zbl 1184.35109 Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 271-292 (2009). Summary: We apply the fundamental solution constructed in a previous paper, and obtain the representation of the solution to the Cauchy problem for the Klein-Gordon equation \(\square _g\phi - m^2\phi = f\) in anti-de Sitter spacetime. Cited in 10 Documents MSC: 35C15 Integral representations of solutions to PDEs 35L15 Initial value problems for second-order hyperbolic equations 35Q75 PDEs in connection with relativity and gravitational theory 85A40 Astrophysical cosmology 83C57 Black holes Keywords:fundamental solution PDFBibTeX XMLCite \textit{K. Yagdjian} and \textit{A. Galstian}, Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 271--292 (2009; Zbl 1184.35109)