Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-05-18T14:23:10.420Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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