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Hölder estimates of solutions of singular parabolic equations with measurable coefficients

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References

  1. D. G. Aronson & J. Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal. 25 (1967), pp. 81–123.

    Google Scholar 

  2. Chen Ya-Zhe & E. DiBenedetto, On the local behaviour of solutions of singular parabolic equations, Arch. Rational Mech. Anal. 103 (1988), pp. 319–345.

    Google Scholar 

  3. E. DeGiorgi, Sulla differenziabilità e l'analiticità delle estremali degli integrall multipli regolari, Mem. Acc. Sci. Torino, Cl. Se. Fis. Mat. Nat. 3 (3) (1957), pp. 25–43.

    Google Scholar 

  4. E. DiBenedetto, On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients, Ann. Sc. Norm. Sup. Pisa Cp. Sc. Ser. IV, 8 (1986), pp. 487–535.

    Google Scholar 

  5. E. DiBenedetto, Topics in Quasilinear Degenerate and Singular Parabolic Equations, Lipschitz Lectures, Inst. Angew. Math., Bonn, Germany (1991).

    Google Scholar 

  6. S. N. Kružkov, A priori estimates and certain properties of the solutions of elliptic and parabolic equations of second order, Mat. Sbornik 65 (107) (1964), pp. 522–570; Engl. Transl: Amer. Math. Soc. Transl. (2) 68 (1968), pp. 169–220.

    Google Scholar 

  7. O. A. Ladyženskaja, V. A. Solonnikov, & N. N. Ural'tseva, Linear and quasilinear equations of parabolic type, Amer. Math. Soc., Providence (1968).

    Google Scholar 

  8. J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), pp. 101–134.

    Google Scholar 

  9. N. S. Trudinger, Pointwise estimates and quasilinear parabolic equations, Comm. Pure Appl. Math. 21 (1968), pp. 205–226.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Bei**g University, Bei**g

    Chen Ya-Zhe & E. DiBenedetto

  2. Department of Mathematics, Northwestern University, 60208, Evanston, Illinois

    Chen Ya-Zhe & E. DiBenedetto

Authors
  1. Chen Ya-Zhe
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  2. E. DiBenedetto
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Communicated by E. Giusti

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Ya-Zhe, C., DiBenedetto, E. Hölder estimates of solutions of singular parabolic equations with measurable coefficients. Arch. Rational Mech. Anal. 118, 257–271 (1992). https://doi.org/10.1007/BF00387898

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  • DOI: https://doi.org/10.1007/BF00387898

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