A new proof of Moser's parabolic harnack inequality using the old ideas of Nash
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KeywordsNeural Network Complex System Nonlinear Dynamics Nash Electromagnetism
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- 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.Google Scholar
- 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.Google Scholar
- 5.S. Kusuoka & D. W. Stroock, Applications of the Malliavin Calculus, Part III, to appear.Google Scholar
- 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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