Volume 26, 2020
|Number of page(s)||22|
|Published online||14 February 2020|
Hardy’s uncertainty principle and unique continuation property for stochastic heat equations
Universidad del País Vasco/Euskal Herriko Unibertsitatea, Dpto Matemáticas,
Barrio Sarriena s/n,
2 Department of Mathematics, California State University Los Angeles, 5151 State University Drive, Los Angeles, CA 90032, USA.
* Corresponding author: firstname.lastname@example.org
Accepted: 20 February 2019
The goal of this paper is to prove a qualitative unique continuation property at two points in time for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy’s uncertainty principle for stochastic heat evolutions.
Mathematics Subject Classification: 35B05 / 35B60 / 60H15
Key words: Hardy uncertainty principle / unique continuation / stochastic heat equation
© EDP Sciences, SMAI 2020
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