Space-like strong unique continuation for some fractional parabolic equations
نویسندگان
چکیده
In this paper we establish the space-like strong unique continuation for nonlocal equations of type (∂t−Δ)su=Vu, 0<s<1. The proof our main result, Theorem 1.1, is achieved via a conditional elliptic doubling property solutions to appropriate extension problem, followed by blowup analysis.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109723