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- FIELD
- Math:Analysis
- DATE
-
Dec 15 (Thu), 2022
- TIME
- 16:00 ~ 17:00
- PLACE
- 1423
- SPEAKER
- Lee, Hosik
- HOST
- Ryu, Jaehyeon
- INSTITUTE
- 서울대학교
- TITLE
- Regularity for mixed local and nonlocal problems
- ABSTRACT
- Mixed local and nonlocal problems are kinds of intensively studied topics in the realm of the regularity theory of elliptic PDE recently.
In this talk, we consider the following two results closely related to these emerging interests.
The first one is Holder regularity and Harnack's inequality for mixed local and nonlocal double phase functionals.
To prove these, we investigate a suitable method for combining De Giorgi-Nash-Moser theory of local problems and that of nonlocal problems.
The second result is the Calderon-Zygmund type estimates for mixed local and nonlocal problems.
Assuming the minimal conditions on boundary and nonlinearity, we use the appropriate comparison estimates motivated on the paper [C. De Filippis and G. Mingione, Math. Ann., to appear].
- FILE
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