Ukrainian Mathematical Journal

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

Essentially Infinite-Dimensional Evolution Equations

  • A. Yu. Mal'tsev


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


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Yu. V. Bogdanskii, "Cauchy problem for an essentially infinite-dimensional parabolic equation with variable coefficients," Ukr. Mat. Zh., 46, No. 6, 663–670 (1994).Google Scholar
  2. 2.
    Yu. L. Daletskii and S. V. Fomin,Measures and Differential Equations in Infinite-Dimensional Spaces [in Russian], Nauka, Moscow (1983).Google Scholar
  3. 3.
    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
  4. 4.
    S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).Google Scholar
  5. 5.
    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

Personalised recommendations