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Note on the Uniqueness Proprety of Weak Solutions of Parabolic Equations

Published online by Cambridge University Press:  22 January 2016

Tadashi Kuroda
Tadashi Kuroda*
Affiliation:
Mathematical Institute, Nagoya University
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Aronson proved, in his paper [1], the existence and the uniqueness property of weak solutions of the initial boundary value problem for parabolic equations of second order with measurable coefficients. On the uniqueness of solutions of the Cauchy problem for such equations he also gave some interesting results in [2].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 29 , March 1967 , pp. 45 - 49
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1967

References

[1] Aronson, D. G., On the Green’s function for second order parabolic differential equations with discontinuous coefficients, Bull. Amer. Math. Soc, 69 (1963), 841–847.CrossRefGoogle Scholar
[2] Aronson, D. G., Uniqueness of positive weak solutions of second order parabolic equations, Ann. Polonici Math., 16 (1965), 285–303.Google Scholar