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arXiv · 1502.07688

Sampling solutions of Schrödinger equations on combinatorial graphs

Isaac Z. Pesenson
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Abstract

We consider functions on a graph $G$ whose evolution in time $-\infty 0$ such that solutions to a Cauchy problem with initial data in $PW_ω(G)$ are completely determined by their samples on $S\times \{kπ/ω\},$ where $k\in \mathbf{N}$. It is shown that in the case of a bipartite graph our results are sharp.

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Isaac Z. Pesenson. 2015-04-30. Sampling solutions of Schrödinger equations on combinatorial graphs. https://arxiv.org/abs/1502.07688

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