Heat equation with singular drift which has bounded solution discontinuous at an interior point

N. V. Krylov

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arXiv · 2609.10828

Heat equation with singular drift which has bounded solution discontinuous at an interior point

N. V. Krylov

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Abstract

The goal of this paper is to present a one dimensional heat equation with a singular drift for which solutions of the Cauchy problem with smooth initial data are bounded and are discontinuous at an interior point (common to all solutions).

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N. V. Krylov. 2026-09-09. Heat equation with singular drift which has bounded solution discontinuous at an interior point. https://arxiv.org/abs/2609.10828

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