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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
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
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| 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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