Open Access
Open access
Electronic Research Archive, volume 33, issue 1, pages 447-470

On exponential decay properties of solutions of the (3 + 1)-dimensional modified Zakharov-Kuznetsov equation

Publication type: Journal Article
Publication date: 2025-01-24
scimago Q2
SJR: 0.385
CiteScore: 1.3
Impact factor: 1
ISSN: 26881594
Abstract
<p>We study here the special decay properties of real solutions to the initial value problem associated with the (3 + 1)-dimensional modified Zakharov-Kuznetsov equation. More precisely, we prove the properties of exponential decay of order $ 3/2 $ above the plane $ x+y+z = 0 $ as time evolves. This property is related with the persistence properties of the solution flow in weighted Sobolev spaces and sharp unique continuation properties of solutions to this problem.</p>
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