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math.AP2019
Modified Zakharov-Kuznetsov equation on rectangles
Marcos Castelli, Gleb Doronin
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.…
math.AP2019
Subcritical and critical generalized Zakharov-Kuznetsov equation posed on bounded rectangles
Marcos Castelli, Gleb Doronin
Initial-boundary value problem for the generalized Zakharov-Kuznetsov equation posed on a bounded rectangle is considered. Critical and subcritical powers in nonlinearity are studi…