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Local monotonicity formulas for some nonlinear diffusion equations

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References

  1. Chen, Y., Struwe, M.: Existence and regularity results for the heat flow for harmonic maps. Math. Z. 201, 83-103 (1989)

    Article  Google Scholar 

  2. Ecker, K.: A local monotonicity formula for mean curvature flow. Annals of Math. 154, 503-525 (2001)

    Google Scholar 

  3. Evans, L.C., Gariepy, R.F.: Wiener’s criterion for the heat equation. Arch. Rational Mech. Analysis 78, 293-314 (1982)

    Google Scholar 

  4. Fulks, W.: A mean value theorem for the heat equation. Proc. Amer. Math.Soc. 17(i), 6-11 (1966)

    Google Scholar 

  5. Garofalo, N.: New estimates of the fundamental solution and Wiener’s criterion for parabolic equations with variable coefficients. Calculus of variations and partial differential equations 70-83 (Trento, 1986) Lecture Notes in Mathematics 1340. Springer, Berlin Heidelberg New York 1988

  6. Giga, Y., Kohn, R.V.: Asymptotically self-similar blow-up of seminlinear heat equations. Comm. Pure Appl. Math. 38, 297-319 (1985)

    Google Scholar 

  7. Hamilton, R.: Monotonicity formulas for parabolic flows on manifolds. Comm. Analysis Geom. 1, 127-137 (1993)

    Google Scholar 

  8. Huisken, G.: Asymptotic behaviour for singularities of the mean curvature flow. J. Differ. Geom. 31, 285-299 (1990)

    Google Scholar 

  9. Simon, L.M.:Lectures on Geometric Measure Theory. Proc. of the CMA, Vol.3 (1983)

  10. Struwe, M.: On the evolution of harmonic maps in higher dimensions. J. Differ. Geom. 28, 485-502 (1988)

    Google Scholar 

  11. Watson, N.A.: A theory of subtemperatures in several variables. Proc. London Math Soc. 26, 385-417 (1973)

    Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut, Freie Universität Berlin, 14195, Berlin, Germany

    Klaus Ecker

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  1. Klaus Ecker
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Received: 27 August 2002, Accepted: 10 May 2004, Published online: 22 December 2004

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Ecker, K. Local monotonicity formulas for some nonlinear diffusion equations. Calc. Var. 23, 67–81 (2005). https://doi.org/10.1007/s00526-004-0290-9

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  • DOI: https://doi.org/10.1007/s00526-004-0290-9

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