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Critical exponent of Fujita type for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime |
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| Authors: | Marcelo Rempel Ebert Jorge Marques |
| Institution: | 1. Department of Computing and Mathematics, University of São Paulo, Ribeirão Preto, Brazil;2. CeBER and FEUC, University of Coimbra, Coimbra, Portugal |
| Abstract: | We consider the nonlinear massless wave equation belonging to some family of the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime. We prove the global in time small data solutions for supercritical powers in the case of decelerating expansion universe. |
| Keywords: | critical exponent global existence semilinear wave equations small data solutions |