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The Cauchy Problem of Linear Parabolic Equations with Discontinuous and Unbounded Coefficients

Published online by Cambridge University Press:  22 January 2016

Yoshiaki Ikeda
Yoshiaki Ikeda*
Affiliation:
Nagoya University
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In this article we shall prove the uniqueness and existense of a weak solution for the Cauchy problem of linear parabolic equations with discontinuous and unbounded coefficients

(1.1)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 41 , February 1971 , pp. 33 - 42
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

[1] Aronson, D.G., Non-Negative Solutions of Linear Parabolic Equations, Ann. Ecole, Norm. Sup. Pisa 28 (1968), 607–694.Google Scholar
[2] Bodanko, W., Sur la problème de Cauchy et les problème de Fourier pour les équations paraboliques dans un domaine non borné, Ann. Polo. Math. 18 (1966), 79–94.CrossRefGoogle Scholar