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