Observations from measurable sets and applications

2014/06/10 by L. Escauriaza, Luis Escauriaza, Santiago Montaner +5 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Stability and Controllability of Differential Equations #math.AP #math.OC

paper · pdf · doi:10.48550/arxiv.1406.2435

arxiv created 2014/06/10 · arxiv updated 2014/06/11

Abstract

We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with time-independent coefficients and apply them to obtain observability inequalities for its solutions over measurable sets.

Citations

• Analyticity up to the boundary of solutions of nonlinear parabolic equations

Cited by

• Observability inequalities from measurable sets for some evolution equations

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