Some properties of solutions of the cauchy problem for evolution equations
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  • 作者:S. G. Pyatkov (1)
    M. V. Uvarova (1)
  • 刊名:Differential Equations
  • 出版年:2012
  • 出版时间:March 2012
  • 年:2012
  • 卷:48
  • 期:3
  • 页码:379-389
  • 全文大小:334.2 KB
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    11. Denk, R., Hieber, M., and Pr眉ss, J., Optimal L p-L q-Estimates for Parabolic Boundary Value Problems with Inhomogeneous Data, Math. Z., 2007, vol. 257, no. 1, pp. 193–224.
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    14. Dubinskii, Yu.A., Certain Differential-Operator Equations of Arbitrary Order, Mat. Sb., 1973, vol. 90(132), no. 1, pp. 3–22.
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    16. Agarwal, R.P., Bohner, M., and Shakhmurov, V.B., Maximal Regular Boundary Value Problems in Banach-Valued Weighted Space, Boundary Value Problems, 2005, vol. 9, no. 1, pp. 9–42.
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  • 作者单位:1. Yugra State University, Khanty-Mansiysk, Russia
  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Ordinary Differential Equations
    Partial Differential Equations
    Difference and Functional Equations
    Russian Library of Science
  • 出版者:MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
  • ISSN:1608-3083
文摘
We consider the Cauchy problem for a first-order operator-differential equation with singular data. The results are used to study boundary value problems for parabolic equations with operator-valued coefficients.

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