| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 9 | |
| Number of page(s) | 22 | |
| DOI | https://doi.org/10.1051/cocv/2019009 | |
| Published online | 14 February 2020 | |
Hardy’s uncertainty principle and unique continuation property for stochastic heat equations
1
Universidad del País Vasco/Euskal Herriko Unibertsitatea, Dpto Matemáticas,
Barrio Sarriena s/n,
48940
Leioa, Spain.
2
Department of Mathematics, California State University Los Angeles,
5151 State University Drive,
Los Angeles,
CA
90032, USA.
* Corresponding author: jiezhongmath@gmail.com
Received:
17
November
2017
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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