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- W3163604485 abstract "We consider solutions of the linear heat equation in RN with isolated singularities. It is assumed that the position of a singular point depends on time and is Hölder continuous with the exponent α∈(0,1). We show that any isolated singularity is removable if it is weaker than a certain order depending on α. We also show the optimality of the removability condition by showing the existence of a solution with a nonremovable singularity. These results are applied to the case where the singular point behaves like a fractional Brownian motion with the Hurst exponent H∈(0,1/2]. It turns out that H=1/N is critical." @default.
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- W3163604485 date "2021-12-01" @default.
- W3163604485 modified "2023-10-18" @default.
- W3163604485 title "Isolated singularities in the heat equation behaving like fractional Brownian motions" @default.
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