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Critical exponent of Fujita type for semilinear wave equations in Friedmann-Lemaitre-Robertson-Walker spacetime

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Author(s):
Ebert, Marcelo ; Marques, Jorge
Total Authors: 2
Document type: Journal article
Source: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. N/A, p. 34-pg., 2022-08-25.
Abstract

We consider the nonlinear massless wave equation belonging to some family of the Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. We prove the global in time small data solutions for supercritical powers in the case of decelerating expansion universe. (AU)

FAPESP's process: 20/08276-9 - The stationary phase method and applications to evolution partial differential equations
Grantee:Marcelo Rempel Ebert
Support Opportunities: Regular Research Grants