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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.9
- 수록면
- 631 - 644 (14page)
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초록· 키워드
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In the present paper, we obtain gradient estimates for positive solutions to the following nonlinear parabolic equation under general geometric flow on complete noncompact manifolds. We shall get an interesting Harnack inequality as an application.
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참고문헌 (10)
참고문헌 신청
T. Aubin / 1982 / Nonlinear Analysis on Manifolds. Monge-Ampre equations / Springer
E. Calabi / 1958 / An extension of E. Hopf s maximum principle with an application to Riemannian geometry / Duke Math. J 25(1):45~56
B. Chow / 2004 / The Ricci flow; An introduction / AMS
R. S. Hamilton / 1993 / The Harnack estimate for the Ricci flow / J. Differ. Geom 37(1):225~243
S. Kuang / 2008 / A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow / J. Funct. Anal 255(4):1008~1023
E. Calabi / 1958 / An extension of E. Hopf s maximum principle with an application to Riemannian geometry / Duke Math. J 25(1):45~56
B. Chow / 2004 / The Ricci flow; An introduction / AMS
R. S. Hamilton / 1993 / The Harnack estimate for the Ricci flow / J. Differ. Geom 37(1):225~243
S. Kuang / 2008 / A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow / J. Funct. Anal 255(4):1008~1023
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