Stabilization for the linear Zakharov–Kuznetsov equation without critical size restrictions
نویسنده
چکیده
a r t i c l e i n f o a b s t r a c t Initial–boundary value problems for the linear 2D Zakharov–Kuznetsov equation posed on bounded rectangles and on a channel-like strip are considered. We suggest a condition on a part of the boundary such that the evolution problem posed on a bounded rectangle has no critical restrictions on its size. The similar results are obtained both for a 2D strip and a 3D groove with no limitations on their width and gauge. Exponential decay rates of solutions for the original problems are established.
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