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Convergence of a class of Schrödinger equations. (English) Zbl 1440.35287

Summary: We set up the selection conditions for time series \(\{t_k\}_{k = 1}^\infty\) which converge to 0 as \(k \to \infty\) and for which the solutions of a class of generalized Schrödinger equations pointwise converge almost everywhere to their initial data in \(H^s (\mathbb{R}^n)\) for \(s > 0\).

MSC:

35Q41 Time-dependent Schrödinger equations and Dirac equations
37M10 Time series analysis of dynamical systems
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References:

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