Modified Zakharov-Kuznetsov equation on rectangles

Published 3 Jul 2019 in math.AP | (1907.02810v1)

Abstract: Initial-boundary value problem for the modified Zakharov-Kuznetsov equation posed on a bounded rectangle is considered. The main difficulty is the critical power in nonlinear term. The results on existence, uniqueness and asymptotic behavior of solutions are presented.

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