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Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s. >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/3921

Title: $L^p-L^q$-Decay Estimates for the Klein-Gordon Equation in the Anti-de~Sitter Space-Time
Authors: Galstian, Anahit
Keywords: anti de Sitter spacetime
Klein-Gordon equation
decay estimates
Issue Date: 2010
Publisher: EUT Edizioni Università di Trieste
Citation: Anahit Galstian, "$L^p-L^q$-Decay Estimates for the Klein-Gordon Equation in the Anti-de~Sitter Space-Time”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 suppl. (2010), pp. 27-50.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Abstract: We derive $L^p-L^q$ - decay estimates for the solutions of the Cauchy problem for the Klein-Gordon equation in the anti-de Sitter spacetime, that is, for $\Box_g u - m^2 u = f$ in models of mathematical cosmology. The obtained $L^p$--$L^q$ estimates imply exponential decay of the solutions for large times.
URI: http://hdl.handle.net/10077/3921
ISSN: 0049-4704
MS Classification 2000: 35L05
35Q75
35L15
Appears in Collections:Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.42 (2010) s.

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