On unique continuation in measure for fractional heat equations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929615652519936 |
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| author | Banerjee, Agnid Garofalo, Nicola |
| author_facet | Banerjee, Agnid Garofalo, Nicola |
| contents | We prove a theorem of unique continuation in measure for nonlocal equations of the type $(\partial_t - Δ)^s u= V(x,t) u$, for $0<s <1$. Our main result, Theorem 1.1, establishes a delicate nonlocal counterpart of the unique continuation in measure for the local case $s=1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03536 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On unique continuation in measure for fractional heat equations Banerjee, Agnid Garofalo, Nicola Analysis of PDEs We prove a theorem of unique continuation in measure for nonlocal equations of the type $(\partial_t - Δ)^s u= V(x,t) u$, for $0<s <1$. Our main result, Theorem 1.1, establishes a delicate nonlocal counterpart of the unique continuation in measure for the local case $s=1$. |
| title | On unique continuation in measure for fractional heat equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.03536 |