Applicable Analysis · 1992 · 23 citations · 6 references
Natural SciencesMathematicsPhysicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsInitial Value ProblemsNonlinear DynamicsSchrödinger EquationBlow-up CriteriaBlow-up PhenomenaIll-posed ProblemsInitial Boundary ConditionsInitial-boundary Value ProblemsNonlinear Initial Value ProblemsNonlinear Schrödinger Equation
Abstract It is shown that the initial-boundary value problem for the nonlinear Schrödinger equation (1.1) below is well-posed. Some conditions for blow-up are also indicated. Keywords: Blow-upnonlinearSchrödinger equationAMS: 35K55
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