Abstract
The initial value problem for some fractional coupled nonlinear heat equations is investigated. In the defocusing case, global well-posedness and exponential decay are established. In the focusing sign, global and non global existence of solutions are discussed via the potential well method.
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Saanouni, T., Hezzi, H. & Mohamednour, M.E. Asymptotics for a class of coupled fractional heat equations. J Elliptic Parabol Equ 4, 1–26 (2018). https://doi.org/10.1007/s41808-017-0009-7
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DOI: https://doi.org/10.1007/s41808-017-0009-7