Large time behavior of the Lp norm of Schrödinger semigroups |
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Authors: | Barry Simon |
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Institution: | Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey 08544 USA |
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Abstract: | LetV ? 0, V?C0∞(Rv) with v ? 3 be such that but for any is not positive. We determine the exact rate of divergence of the norm of e?tH as a map from L∞ to L∞. A number of related problems are discussed. |
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