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NON-LINEAR BI-HARMONIC CHOQUARD EQUATIONS
Journal article   Open access  Peer reviewed

NON-LINEAR BI-HARMONIC CHOQUARD EQUATIONS

Tarek Saanouni and Department of Mathematics, College of Science and Arts in Uglat Asugour, Qassim University, Buraydah, Kingdom of Saudi Arabia
Communications on pure and applied analysis, Vol.19(11), pp.5033-5057
01/11/2020
DOI: https://doi.org/10.3934/cpaa.2020221

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This note studies the fourth-order Choquard equation i(u)over dot + Delta(2)u +/- (I-alpha (*) vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u = 0. In the mass super-critical and energy sub-critical regimes, a sharp threshold of global well-psedness and scattering versus finite time blow-up dichotomy is obtained.
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https://doi.org/10.3934/cpaa.2020221View
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