Abstrakti
This article proves a weak Harnack inequality with a tail term for sign changing supersolutions of a mixed local and nonlocal parabolic equation. Our argument is purely analytic. It is based on energy estimates and the Moser iteration technique. Instead of the parabolic John-Nirenberg lemma, we adopt a lemma of Bombieri-Giusti to the mixed local and nonlocal parabolic case. To this end, we prove an appropriate reverse Hölder inequality and a logarithmic estimate for weak supersolutions.
Alkuperäiskieli | Englanti |
---|---|
Sivut | 373-406 |
Sivumäärä | 34 |
Julkaisu | Journal of Differential Equations |
Vuosikerta | 360 |
DOI - pysyväislinkit | |
Tila | Julkaistu - 5 heinäk. 2023 |
OKM-julkaisutyyppi | A1 Julkaistu artikkeli, soviteltu |