Existence, symmetries, and asymptotic properties of global solutions for a fractional diffusion equation with gradient nonlinearity

Halley Gomes and Arlúcio Viana ()
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Halley Gomes: Federal University of Rio Grande do Norte
Arlúcio Viana: Federal University of Sergipe

Partial Differential Equations and Applications, 2021, vol. 2, issue 1, 1-30

Abstract: Abstract This work gives sufficient conditions to obtain the existence, positivity, symmetry, asymptotic and spatial behaviors of global solutions of a fractional reaction–diffusion equation with power-type and gradient nonlinearities. Eventually, we obtain results of the fractional viscous Hamilton–Jacobi equation.

Keywords: Global existence; Uniqueness; Spatial decay; Viscous Hamilton–Jacobi equation; Fractional reaction-diffusion; Symmetries; 35R11; 35K58; 35B06; 35B40; 35A01 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-020-00067-3

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