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arXiv · 1509.04053

Analyticity of solutions to parabolic evolutions and applications

Luis Escauriaza·Santiago Montaner·Can Zhang
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Abstract

We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with analytic coefficients near the initial time. We apply the estimates to obtain observability inequalities and null-controllability of parabolic evolutions over measurable sets.

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Luis Escauriaza, Santiago Montaner, Can Zhang. 2015-09-14. Analyticity of solutions to parabolic evolutions and applications. https://arxiv.org/abs/1509.04053

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