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Ukrainian Mathematical Journal

, Volume 56, Issue 2, pp 264–273 | Cite as

Essentially Infinite-Dimensional Evolution Equations

  • A. Yu. Mal'tsev
Article
  • 18 Downloads

Abstract

We investigate the Cauchy problem for evolution equations with essentially infinite-dimensional elliptic operators.

Keywords

Cauchy Problem Evolution Equation Elliptic Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

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    Yu. L. Daletskii and S. V. Fomin,Measures and Differential Equations in Infinite-Dimensional Spaces [in Russian], Nauka, Moscow (1983).Google Scholar
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    Yu. V. Bogdanskii, "Cauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space," Ukr. Mat. Zh., 47, No. 6, 737–746 (1995).Google Scholar
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    S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).Google Scholar
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    Yu. V. Bogdanskii, Parabolic Equations with Essentially Infinite-Dimensional Elliptic Operators [in Russian], Kiev, Dep. UkrNIINTI No. 4B269-77, Kiev (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • A. Yu. Mal'tsev
    • 1
  1. 1.Kiev Polytechnic InstituteKiev

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