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- FIELD
- Math:Analysis
- DATE
-
Mar 28 (Fri), 2025
- TIME
- 11:00 ~ 12:00
- PLACE
- 1423
- SPEAKER
- 임민규
- HOST
- Yun, Hyungsung
- INSTITUTE
- KAIST SAARC
- TITLE
- [GS_M_APP] Gradient estimates of very weak solutions to mixed local problems
- ABSTRACT
- The mixed problem, which involves an elliptic equation with both local and nonlocal terms, has recently gained attention. It arises from the combination of two stochastic processes with different scales, such as a classical random walk and a Lévy process. In this presentation, we provide a sub-natural gradient estimate for a very weak solution to the mixed problem, under the condition that the integrability of the source term is below the natural exponent.
- FILE
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