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Optimal constant for a smoothing estimate of critical index

Trends in Mathematics (2014) 63 1-7
DOI: 10.1007/978-3-319-02550-6_1
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Abstract

We generalise a result by Hoshiro [3] which considered a critical case of Kato-Yajima's smoothing estimate (Equation Presented) for the Schorödinger propagator exp(-itΔ). An expression for the optimal constant is also given.

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Bez, N., & Sugimoto, M. (2014). Optimal constant for a smoothing estimate of critical index. In Trends in Mathematics (Vol. 63, pp. 1–7). Springer International Publishing. https://doi.org/10.1007/978-3-319-02550-6_1

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