The boundedness in \(H^s(\Omega)\) for a class of nonlinear Schrödinger equations (Q2704441)

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The boundedness in \(H^s(\Omega)\) for a class of nonlinear Schrödinger equations
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    27 January 2002
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    a priori estimates
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    existence
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    uniqueness
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    global solutions
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    The boundedness in \(H^s(\Omega)\) for a class of nonlinear Schrödinger equations (English)
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    The paper establishes the boundedness of solutions in \(H^s(\Omega)\) to the initial-boundary value problems for a class of nonlinear Schrödinger equations in even-dimensional spaces. The result on a priori estimates is useful in studying the existence, uniqueness and asymptotical properties of global solutions.
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