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Bounds for the fundamental solution of a parabolic equation. (English) Zbl 0153.42002

Keywords:
partial differential equations
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References:
 [1] D. G. Aronson, Isolated singularities of solutions of second order parabolic equations, Arch. Rational Mech. Anal. 19 (1965), 231 – 238. · Zbl 0143.13705 · doi:10.1007/BF00277011 · doi.org [2] D. G. Aronson and James Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal. 25 (1967), 81 – 122. · Zbl 0154.12001 · doi:10.1007/BF00281291 · doi.org [3] P. Besala, On a certain property of the fundamental solution of a linear parabolic equation the last coefficient of which is unbounded, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 11 (1963), 155 – 158. · Zbl 0117.31402 [4] A. M. Il$$^{\prime}$$in, A. S. Kalašnikov, and O. A. Oleĭnik, Second-order linear equations of parabolic type, Uspehi Mat. Nauk 17 (1962), no. 3 (105), 3 – 146 (Russian). [5] Avner Friedman, Partial differential equations of parabolic type, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. · Zbl 0092.31002 [6] J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931 – 954. · Zbl 0096.06902 · doi:10.2307/2372841 · doi.org
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