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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,539 - 1,561 (23page)
- DOI
- 10.4134/BKMS.b210087
이용수
초록· 키워드
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We prove Perelman type $\mathcal{W}$-entropy formulae and differential Harnack estimates for positive solutions to weighed doubly nonlinear diffusion equation on weighted Riemannian manifolds with $CD(-K,m)$ condition for some $K\ge0$ and $m\ge n$, which are also new for the non-weighted case. As applications, we derive some Harnack inequalities.
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참고문헌 (33)
참고문헌 신청
D. Bakry / S´eminaire de probabilit´es, XIX, 1983/84 / Springer :177~206
D. Bakry / 2014 / Analysis and geometry of Markov diffusion operators / Springer
Daguang Chen / 2015 / Gradient estimates for doubly nonlinear diffusion equations / Nonlinear Analysis: Theory, Methods & Applications 112:156~164
F. Fang / 2009 / Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature / Ann. Inst. Fourier(Grenoble) 59(2):563~573
Akito Futaki / 2013 / On the first eigenvalue of the Witten–Laplacian and the diameter of compact shrinking solitons / Annals of Global Analysis and Geometry 44(2):105~114
D. Bakry / 2014 / Analysis and geometry of Markov diffusion operators / Springer
Daguang Chen / 2015 / Gradient estimates for doubly nonlinear diffusion equations / Nonlinear Analysis: Theory, Methods & Applications 112:156~164
F. Fang / 2009 / Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature / Ann. Inst. Fourier(Grenoble) 59(2):563~573
Akito Futaki / 2013 / On the first eigenvalue of the Witten–Laplacian and the diameter of compact shrinking solitons / Annals of Global Analysis and Geometry 44(2):105~114
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