On the Asymptotics of Average Values of Solutions to the Cauchy Problem for a System of Parabolic Equations

被引：0
作者：
Denisov P.V. [1 ]
机构：
[1] Moscow Pedagogical State University, Moscow
来源：
Journal of Mathematical Sciences | 2020年 / 245卷 / 4期
关键词：
35K30; asymptotics; Cauchy problem; parabolic equation; Poisson integral;
D O I：
10.1007/s10958-020-04708-1
中图分类号：
学科分类号：
摘要：
This paper is devoted to the study of asymptotic behavior as t→∞ of the average values (with respect to time) of solutions to the Cauchy problem for parabolic equations. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：524 / 527
页数：3
相关论文
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  • [3] Repnikov V.D., Uniform stabilization of the solution of the Cauchy problem for parabolic equations, Dokl. Akad. Nauk SSSR, 157, 3, pp. 532-535, (1964)
  • [4] Tychonoff A., Théorèmes d’unicité pour l’équation de la chaleur, Mat. Sb., 42, 2, pp. 199-216, (1935)
  • [5] Wiener N., The Fourier Integral and Certain of Its Applications, (1959)
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