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Bulletin of the American Mathematical Society

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Bounds for the fundamental solution of a parabolic equation


Author: D. G. Aronson
Journal: Bull. Amer. Math. Soc. 73 (1967), 890-896
MathSciNet review: 0217444
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References [Enhancements On Off] (What's this?)

  • 1. D. G. Aronson, Isolated singularities of solutions of second order parabolic equations, Arch. Rational Mech. Anal. 19 (1965), 231–238. MR 0179468
  • 2. D. G. Aronson and James Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal. 25 (1967), 81–122. MR 0244638
  • 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. MR 0152757
  • 4. A. M. Il′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). MR 0138888
  • 5. Avner Friedman, Partial differential equations of parabolic type, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0181836
  • 6. J. Nash, Continuity of solutions of parabolic and elliptic equations, Amer. J. Math. 80 (1958), 931–954. MR 0100158


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1967-11830-5