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Volumn 39, Issue 1, 2010, Pages 101-120

On the heat flow on metric measure spaces: Existence, uniqueness and stability

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EID: 77954423534     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-009-0303-9     Document Type: Article
Times cited : (72)

References (13)
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    • Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
    • Fukaya K.: Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Invent. Math. 87(3), 517-547 (1987).
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    • Fukaya, K.1
  • 6
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    • Of progress in mathematics, Birkhäuser Boston Inc., Boston, MA, Based on the 1981 French original. With appendices by M. Katz, P. Pansu and S. Semmes. Translated from the French by S. M. Bates
    • Gromov, M.: Metric structures for Riemannian and non-Riemannian spaces. Of progress in mathematics, vol. 152. Birkhäuser Boston Inc., Boston, MA (1999), Based on the 1981 French original. With appendices by M. Katz, P. Pansu and S. Semmes. Translated from the French by S. M. Bates.
    • (1999) Metric structures for Riemannian and non-Riemannian spaces , vol.152
    • Gromov, M.1
  • 7
    • 77954424072 scopus 로고    scopus 로고
    • Geometric inequalities and generalized Ricci bounds in the Heisenberg group
    • (to appear)
    • Juillet, N.: Geometric inequalities and generalized Ricci bounds in the Heisenberg group. IMRN (to appear).
    • IMRN
    • Juillet, N.1
  • 8
    • 85056016813 scopus 로고    scopus 로고
    • Villani, C.: Ricci curvature for metric-measure spaces via optimal transport
    • (to appear)
    • Lott, J., Villani, C.: Ricci curvature for metric-measure spaces via optimal transport. Ann. Math. (to appear).
    • Ann. Math.
    • Lott, J.1    Villani, C.2
  • 9
    • 0001560970 scopus 로고    scopus 로고
    • The geometry of dissipative evolution equations: The porous medium equation
    • Otto F.: The geometry of dissipative evolution equations: the porous medium equation. Comm. Part. Differ. Equat. 26, 101-174 (2001).
    • (2001) Comm. Part. Differ. Equat. , vol.26 , pp. 101-174
    • Otto, F.1
  • 10
    • 34547422503 scopus 로고    scopus 로고
    • Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds
    • Savaré G.: Gradient flows and diffusion semigroups in metric spaces under lower curvature bounds. C. R. Math. Acad. Sci. Paris 345, 151-154 (2007).
    • (2007) C. R. Math. Acad. Sci. Paris , vol.345 , pp. 151-154
    • Savaré, G.1
  • 11
    • 33750193237 scopus 로고    scopus 로고
    • On the geometry of metric measure spaces. I-II
    • Sturm K.-T.: On the geometry of metric measure spaces. I-II. Acta Math. 196(1), 65-177 (2006).
    • (2006) Acta Math. , vol.196 , Issue.1 , pp. 65-177
    • Sturm, K.-T.1
  • 12
    • 77954427921 scopus 로고    scopus 로고
    • Heat flow on Finster manifolds
    • (to appear)
    • Sturm, K.-T., Ohta, S. I.: Heat flow on Finster manifolds. CPAM (to appear).
    • CPAM
    • Sturm, K.-T.1    Ohta, S.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.