연구동향 분석

Omori-Yau maximum principle on Alexandrov spaces

이한진 2016년

논문상세정보
    • 저자 이한진
    • 제어번호 103365419
    • 학술지명 대한수학회지
    • 권호사항 Vol. 53 No. 3 [ 2016 ]
    • 발행처 대한수학회
    • 발행처 URL http://www.kms.or.kr
    • 자료유형 학술저널
    • 수록면 533-547
    • 언어 English
    • 출판년도 2016
    • 등재정보 KCI등재
    • 소장기관 성균관대학교 삼성학술정보관 성균관대학교 삼성학술정보관 영남대학교 과학도서관
    • 판매처
    유사주제 논문( 0)
인용/피인용

' Omori-Yau maximum principle on Alexandrov spaces' 의 참고문헌

  • The Riemannian structure of Alexandrov spaces
    Y. Otsu J. Differential Geom 39 3 629-658 [1994]
  • Sobolev sapces, Laplacian, and heat kernel on Alexandrov spaces
    K. Kuwae Math. Z 238 2 269-316 [2001]
  • Ricci curvature on Alexandrov spaces and rigidity theorems
    H. Zhang Comm. Anal. Geom 18 3 503-553 [2010]
  • Rectifiable sets in metric and Banach spaces
    L. Ambrosio Math. Ann 318 3 527-555 [2000]
  • On the measure contraction property of metric measure spaces
    S. Ohta Comment. Math. Helv 82 4 805-828 [2007]
  • On the Omori-Yau maximum principle and its application to differential equations and geometry
    A. Ratto J. Funct. Anal 134 2 486-510 [1995]
  • Isometric immersions of Riemannian manifolds
    H. Omori J. Math. Soc. Japan 19 205-214 [1967]
  • Infinitesimal Bishop-Gromov condition for Alexandrov spaces, Probabilistic approach to geometry
    K. Kuwae Adv. Stud. Pure Math 57 293-302 [2010]
  • Heat kernel comparison on Alexandrov spaces with curvature bounded below
    M.-K. von Renesse Potential Anal 21 2 151-176 [2004]
  • Harmonic functions on complete Riemannian manifolds
    S. T. Yau Comm. Pure Appl. Math 28 201-228 [1975]
  • Functions of Bounded Variation and Free Discontinuity Problems
    L. Ambrosio - [2000]
  • Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces
    J. Rataj Houston J. Math 38 2 445-467 [2012]
  • Alexandrov meets Lott-Villani-Sturm
    A. Petrunin M¨unster J. Math 4 53-64 [2011]
  • A. D. Aleksandrov spaces with curvature bounded below
    Y. Burago Russian Math. Surveys 47 2 1-58 [1992]
  • A topological splitting theorem for weighted Alexandrov spaces
    K. Kuwae Tohoku Math. J 63 1 59-76 [2011]
  • A remark on the maximum principle and stochastic completeness
    S. Pigola Proc. Amer. Math. Soc 131 4 1283-1288 [2003]
  • A general Schwarz lemma for Kahler manifolds
    S. T. Yau Amer. J. Math 100 1 197-203 [1978]
  • A Course in Metric Geometry, Graduate Studies in Mathematics
    D. Burago American Mathematical Society 33 - [2001]