Abstract
In this paper we study removable singularities for solutions of the fractional heat equation in the spacial-time space. We introduce associated capacities and we study some of its metric and geometric properties.
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Funding
Open Access Funding provided by Universitat Autonoma de Barcelona. L.P. was supported by PID2020-114167GB-I00 (MINECO, Spain) and J.M. was supported by PID2020-112881GB-I00 (MINECO, Spain).
Data sharing not applicable to this article as no datasets were gerenated or analysed during the current study.
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Mateu, J., Prat, L. Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains. Potential Anal (2023). https://doi.org/10.1007/s11118-023-10071-y
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DOI: https://doi.org/10.1007/s11118-023-10071-y
Keywords
- Fractional heat equation
- Capacity
- Removability
Mathematics Subject Classification (2010)
- 35K55
- 42B20
- 31C45
- 28A75