Removable singularities for solutions of the fractional Heat Equation in time varying domains
Joan Mateu, Laura Prat
TL;DR
This paper investigates the conditions under which singularities can be removed for solutions to the fractional heat equation in domains that change over time, introducing capacities to analyze their properties.
Contribution
It introduces new capacity concepts and explores their metric and geometric properties for fractional heat equations in dynamic domains.
Findings
Defined new capacities for fractional heat equations
Analyzed metric and geometric properties of these capacities
Provided criteria for removable singularities
Abstract
In this paper we study removable singularities for solutions of the fractional heat equation in time varying domains. We introduce associated capacities and we study some of its metric and geometric properties.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Nonlinear Partial Differential Equations