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A new proof of Moser's parabolic harnack inequality using the old ideas of Nash

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References

  1. D. G. Aronson, Bounds for the fundamental solution of a parabolic equation, Bulletin of the American Mathematical Society 73 (1967), 890–896.

    Google Scholar 

  2. D. G. Aronson & J. Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal. 25 (1967), 81–122.

    Google Scholar 

  3. E. B. Davies, Explicit constants for Gaussian upper bounds on heat kernels, to appear.

  4. E. De Giorgi, Sulle differentiabilità e l'analiticità degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. (III) (1957), 25–43.

  5. S. Kusuoka & D. W. Stroock, Applications of the Malliavin Calculus, Part III, to appear.

  6. J. Moser, On Harnack's theorem for elliptic differential equations, Comm. Pure Appl. Math. 14 (1961), 47–79.

    Google Scholar 

  7. J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101–134; Correction to “A Harnack inequality for parabolic differential equations”, Comm. Pure Appl. Math. 20 (1960), 232–236.

    Google Scholar 

  8. J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. math. 80 (1958), 931–954.

    Google Scholar 

  9. M. N. Safanov, Harnack's inequality for elliptic equations and the Hölder property of their solutions, J. Soviet Mathematics 21 (1983), 851–863.

    Google Scholar 

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Dedicated to J. Serrin on the occasion of his 60th birthday

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Fabes, E.B., Stroock, D.W. A new proof of Moser's parabolic harnack inequality using the old ideas of Nash. Arch. Rational Mech. Anal. 96, 327–338 (1986). https://doi.org/10.1007/BF00251802

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