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A lower bound for the heat kernel. (English) Zbl 0481.35003

MSC:
35A08 Fundamental solutions to PDEs
53C20 Global Riemannian geometry, including pinching
35K05 Heat equation
35B35 Stability in context of PDEs
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[1] , and , Le Spectre d’une Variété Riemannienne, Lecture Notes in Math., No. 194, Springer-Verlag, Berlin-Heidelberg-New York, 1971.
[2] Manifolds All of Whose Geodesics are Closed, Erg. der Math. No. 93, Springer-Verlag, Berlin-Heidelberg-New York, 1978.
[3] and , Geometry of Manifolds, Academic Press, New York, 1964.
[4] Cheeger, Arch. Math. (Basel) 19 pp 558– (1968) · Zbl 0177.50201
[5] On the Hodge theory of Riemannian Pseudomanifolds, Proc. Symp. Pure Math., A.M.S., 1980, pp. 91–146.
[6] Cheeger, J. Differential Geometry 6 pp 119– (1971)
[7] and , On the diffraction of waves by conical singularities, preprint. · Zbl 0536.58032
[8] Cheng, Math. Z. 143 pp 289– (1975)
[9] Debiard, Publ. RIMS, Kyoto Univ. 12 pp 391– (1976)
[10] Gaffney, Annals of Math. 60 pp 140– (1945)
[11] Gaffney, Ann. of Math. 60 pp 458– (1954)
[12] and , Function Theory on Manifolds Which Possess a Pole, Lecture Notes in Math, 699, Springer-Verlag, Berlin-Heidelberg-New York, 1979. · Zbl 0414.53043
[13] Michel, C. R. Acad. Sci. Paris, Ser. A 282 pp 1007– (1976)
[14] and , Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1967.
[15] Yau, Indiana Univ. Math. J. 25 pp 659– (1976)
[16] Lectures on Semigroup Theory and Its Applications to Cauchy’s Problem in Partial Differential Equations, Tata Inst. of Fundamental Research, Bombay, 1957.
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