Upper estimates for a moving boundary problem for resonant nonlinear schrödinger equations
Flavin, J. N.
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Flavin, J. N. Rogers, C. (2008). Upper estimates for a moving boundary problem for resonant nonlinear schrödinger equations. Studies in Applied Mathematics 121 (2), 189-198
Pointwise bounds are obtained for the solution of an initial boundary value problem for the resonant nonlinear Schrodinger equations. The context is that of a straight-line region with prescribed moving boundaries, expanding or noncontracting, upon which zero (Dirichlet) conditions are imposed.