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$L^p-L^q$-Decay Estimates for the Klein-Gordon Equation in the Anti-de~Sitter Space-Time
Galstian, Anahit
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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 suppl. (2010)
Publisher
EUT Edizioni Università di Trieste
Source
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.
Languages
en
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