No CrossRef data available.
Article contents
Decay at infinity for solutions to some fractional parabolic equations
Published online by Cambridge University Press: 14 March 2024
Abstract
For $s\in [\tfrac {1}{2},\, 1)$, let $u$
solve $(\partial _t - \Delta )^s u = Vu$
in $\mathbb {R}^{n} \times [-T,\, 0]$
for some $T>0$
where $||V||_{ C^2(\mathbb {R}^n \times [-T, 0])} < \infty$
. We show that if for some $0<\mathfrak {K} < T$
and $\epsilon >0$
in $\mathbb {R}^{n} \times [-T,\, 0]$
.
Keywords
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © The Author(s), 2024. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh
References
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240313135246144-0856:S030821052400009X:S030821052400009X_inline521.png?pub-status=live)
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240313135246144-0856:S030821052400009X:S030821052400009X_inline522.png?pub-status=live)