A group theoretic analysis of the generalised Gardner equation with arbitrary order nonlinear terms
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.07.036
Abstract: Abstract In this paper, we analyse a Gardner equation with dual power law nonlinearity of any order which has been widely investigated due to its applications in quantum field theory, solid state, plasma and fluid… read more here.
Keywords: order; group theoretic; equation; analysis ... See more keywords
ON GILP’S GROUP-THEORETIC APPROACH TO FALCONER’S DISTANCE PROBLEM
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DOI: 10.1017/s0017089520000373
Abstract: Abstract In this paper, we follow and extend a group-theoretic method introduced by Greenleaf–Iosevich–Liu–Palsson (GILP) to study finite points configurations spanned by Borel sets in $\mathbb{R}^n,n\geq 2,n\in\mathbb{N}.$ We remove a technical continuity condition in a… read more here.
Keywords: theoretic approach; distance; gilp group; group theoretic ... See more keywords