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Note on the Behavior of Solutions of Parabolic Equations with Unbounded Coefficients*)

Published online by Cambridge University Press:  22 January 2016

Lu-San Chen
Lu-San Chen*
Affiliation:
Department of Mathematics, Taiwan Provincial Cheng-Kung University, China, and Mathematical Institute Tohoku University, Sendai, Japan
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Let

be a parabolic differential operator defined in Ω = Rn + (0, ∞), where Rn is the n-dimensional Euclidean space, the point x ∈ Rn is represented by its coordinates (x1,...,xn) and aij(=aji), bi and c are functions in (x,t)∈Ω.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 37 , March 1970 , pp. 1 - 4
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

Footnotes

*)

This research was supported by the National Science council in Taiwan.

References

[1] Bodanko, W., Sur le problème de Cauchy et les problèmes de Fourier pour les equations paraboliques dans un domaine non borné, Ann. Polo. Math., 18 (1966), 79–94.Google Scholar
[2] Krzyżański, M., Evaluations des solutions de l’equation linéaire de type paraboliques à coefficients non borné, Ann. Polo. Math., 11 (1961-62), 253–260.Google Scholar