# American Institute of Mathematical Sciences

September  2009, 2(3): 483-502. doi: 10.3934/dcdss.2009.2.483

## Fundamental solutions for wave equation in Robertson-Walker model of universe and $L^p-L^q$ -decay estimates

 1 Department of Mathematics, University of Texas-Pan American, 1201 W. University Drive, Edinburg, TX 78541-2999, United States, United States

Received  September 2008 Revised  February 2009 Published  June 2009

We use constructed in [24] the fundamental solutions of the wave equation arising in the Robertson-Walker model of universe to derive the $L^p-L^q$-decay estimates for the solutions of the equation with and without a source term.
Citation: Karen Yagdjian, Anahit Galstian. Fundamental solutions for wave equation in Robertson-Walker model of universe and $L^p-L^q$ -decay estimates. Discrete and Continuous Dynamical Systems - S, 2009, 2 (3) : 483-502. doi: 10.3934/dcdss.2009.2.483
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