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Heat equation with singular drift which has bounded solution discontinuous at an interior point
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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BibTeX
@misc{krylov2026heat,
title = {{Heat equation with singular drift which has bounded solution discontinuous at an interior point}},
author = {N. V. Krylov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.10828},
eprint = {2609.10828},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.10828},
}
RIS
TY - UNPB
TI - Heat equation with singular drift which has bounded solution discontinuous at an interior point
AU - N. V. Krylov
PY - 2026
DA - 2026/09/09
PB - arXiv
DO - 10.48550/arxiv.2609.10828
UR - https://arxiv.org/abs/2609.10828
AB - 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).
ER -