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On a pointwise estimate for parabolic differential equations. (English) Zbl 0227.35016

MSC:
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
26D10 Inequalities involving derivatives and differential and integral operators
35K10 Second-order parabolic equations
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References:
[1] Aronson, Annales Polonici Math. 16 pp 285– (1965)
[2] Aronson, Bull. Amer. Math. Soc. 73 pp 890– (1967)
[3] Aronson, Archive Rat. Mech. and Anal. 25 pp 81– (1967)
[4] Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions, Mimeographed Notes of Lectures held at Courant Institute, New York University, 1970.
[5] , and , Linear and Quasilinear Equations of Parabolic Type, Isd. Nauk, Moscow, 1967. English translation in Translations of Mathematical Monographs, Vol. 23, American Mathematical Society, Providence, R. I., 1968.
[6] Moser, Comm. Pure Appl. Math. 17 pp 101– (1964)
[7] Comm. Pure Appl. Math. 20 pp 231– (1967)
[8] Trudinger, Comm. Pure Appl. Math. 20 pp 721– (1967)
[9] On the regularity of generalized solutions of linear, non-uniformly elliptic equations, preprint, to appear.
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