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Upper Estimates for a Moving Boundary Problem for Resonant Nonlinear Schrödinger Equations
Author(s) -
Flavin J. N.,
Rogers C.
Publication year - 2008
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2008.00417.x
Subject(s) - pointwise , nonlinear system , mathematical analysis , boundary value problem , mathematics , context (archaeology) , zero (linguistics) , boundary (topology) , dirichlet boundary condition , physics , geology , quantum mechanics , paleontology , linguistics , philosophy
Pointwise bounds are obtained for the solution of an initial boundary value problem for the resonant nonlinear Schrödinger equations. The context is that of a straight‐line region with prescribed moving boundaries, expanding or noncontracting, upon which zero (Dirichlet) conditions are imposed.