Parabolic B.M.O. and Harnack’s inequality
HTML articles powered by AMS MathViewer
- by Eugene B. Fabes and Nicola Garofalo
- Proc. Amer. Math. Soc. 95 (1985), 63-69
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796447-6
- PDF | Request permission
Abstract:
We present a simplified proof of Moser’s parabolic version of the lemma of John and Nirenberg. This lemma is used to prove Harnack’s inequality for parabolic equations.References
- R. Hanks, Interpolation by the real method between BMO, $L^{\alpha }(0<\alpha <\infty )$ and $H^{\alpha }(0<\alpha <\infty )$, Indiana Univ. Math. J. 26 (1977), no. 4, 679–689. MR 448052, DOI 10.1512/iumj.1977.26.26054 B. Jessen, J. Marcinckiewicz and A. Zygmund, Note on the differentiability of multiple integrals, Fund. Math. 25 (1935), 217-234.
- F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415–426. MR 131498, DOI 10.1002/cpa.3160140317
- Jürgen Moser, On Harnack’s theorem for elliptic differential equations, Comm. Pure Appl. Math. 14 (1961), 577–591. MR 159138, DOI 10.1002/cpa.3160140329
- Jürgen Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101–134. MR 159139, DOI 10.1002/cpa.3160170106
- J. Moser, On a pointwise estimate for parabolic differential equations, Comm. Pure Appl. Math. 24 (1971), 727–740. MR 288405, DOI 10.1002/cpa.3160240507
- Umberto Neri, Some properties of functions with bounded mean oscillation, Studia Math. 61 (1977), no. 1, 63–75. MR 445210, DOI 10.4064/sm-61-1-63-75
Bibliographic Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 63-69
- MSC: Primary 35K10; Secondary 35B45
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796447-6
- MathSciNet review: 796447