Quantitative uniqueness for parabolic equations with Hölder potentials
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917406143676416 |
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| author | Banerjee, Agnid Garofalo, Nicola |
| author_facet | Banerjee, Agnid Garofalo, Nicola |
| contents | In this note we derive a space-like quantitative uniqueness result for parabolic operators with Hölder zero-order term that interpolates between the Donnelly-Fefferman and the Bourgain-Kenig estimate. This generalizes a recent result of Teng, Wang and Zhu for the time-independent Schrödinger operator with a Hölder potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12230 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantitative uniqueness for parabolic equations with Hölder potentials Banerjee, Agnid Garofalo, Nicola Analysis of PDEs In this note we derive a space-like quantitative uniqueness result for parabolic operators with Hölder zero-order term that interpolates between the Donnelly-Fefferman and the Bourgain-Kenig estimate. This generalizes a recent result of Teng, Wang and Zhu for the time-independent Schrödinger operator with a Hölder potential. |
| title | Quantitative uniqueness for parabolic equations with Hölder potentials |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2604.12230 |