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Regularity results for fully nonlinear parabolic integro-differential operators
- Kim, Yong-Cheol;
- Lee, Ki-Ahm
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15초록
In this paper, we consider the regularity theory for fully nonlinear parabolic integro-differential equations with symmetric kernels. We are able to find parabolic versions of Alexandrov-Backelman-Pucci estimate with . And we show a Harnack inequality, Holder regularity, and -regularity of the solutions by obtaining decay estimates of their level sets.
키워드
PARTIAL-DIFFERENTIAL-EQUATIONS; NONSYMMETRIC POSITIVE KERNELS; VISCOSITY SOLUTIONS; HARNACK INEQUALITIES; MAXIMUM PRINCIPLE; VARIABLE ORDER; JUMP-PROCESSES; DIFFUSION
- 제목
- Regularity results for fully nonlinear parabolic integro-differential operators
- 저자
- Kim, Yong-Cheol; Lee, Ki-Ahm
- 발행일
- 2013-12
- 유형
- Article
- 권
- 357
- 호
- 4
- 페이지
- 1541 ~ 1576