Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term
Abstract
A boundary value problem for a stationary nonlinear dispersive equation of order 2l+1\;\; l∈ N with a convective term in the form ukux\;\; k∈ N was considered on an interval (0,L). The existence, uniqueness and continuous dependence of a regular solution as well as a relation between l and critical values of k have been established.
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