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

N. V. Krylov

Source record

Source: arXiv

Published: Sep 9, 2026

arXiv: 2609.10828

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Source 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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Heat equation with singular drift which has bounded solution discontinuous at an interior point — Mathematical Frontier Network