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Regularity Results for Fully Nonlinear Integro-Differential Operators with Nonsymmetric Positive Kernels: Subcritical Case
- Kim, Yong-Cheol;
- Lee, Ki-Ahm
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11초록
We introduce a class of fully nonlinear integro-differential operators with possible nonsymmetric kernels. For the index sigma of the operator in (1, 2) (subcritical case), we introduce a very general class of fully nonlinear integro-differential operators and obtain a comparison principle, a nonlocal version of the Alexandroff-Backelman-Pucci estimate, a Harnack inequality, a Holder regularity, and an interior C-1,C-alpha-regularity for equations associated with such a class.
키워드
Integro-differential operators; A-B-P estimate; Harnack estimate; Nonlocal equations; HAMILTON-JACOBI EQUATIONS; VISCOSITY SOLUTIONS; HARNACK INEQUALITIES; MAXIMUM PRINCIPLE; HOLDER CONTINUITY; UNIQUENESS; TERMS
- 제목
- Regularity Results for Fully Nonlinear Integro-Differential Operators with Nonsymmetric Positive Kernels: Subcritical Case
- 저자
- Kim, Yong-Cheol; Lee, Ki-Ahm
- 발행일
- 2013-02
- 유형
- Article
- 권
- 38
- 호
- 2
- 페이지
- 433 ~ 455