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Heat Equation With a Geometric Rough Path Potential in One Space Dimension: Existence and Regularity of Solution

Published 21 Dec 2017 in math.AP and math.PR | (1712.08196v1)

Abstract: A solution of the heat equation with a distribution-valued potential is constructed by regularization. When the potential is the generalized derivative of a H\"{o}lder continuous function, regularity of the resulting solution is in line with the standard parabolic theory.

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