Skip to main content
Log in

Essentially Infinite-Dimensional Evolution Equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

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

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  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. Yu. L. Daletskii and S. V. Fomin,Measures and Differential Equations in Infinite-Dimensional Spaces [in Russian], Nauka, Moscow (1983).

  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. S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).

  5. Yu. V. Bogdanskii, Parabolic Equations with Essentially Infinite-Dimensional Elliptic Operators [in Russian], Kiev, Dep. UkrNIINTI No. 4B269-77, Kiev (1977).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mal'tsev, A.Y. Essentially Infinite-Dimensional Evolution Equations. Ukrainian Mathematical Journal 56, 264–273 (2004). https://doi.org/10.1023/B:UKMA.0000036100.76611.66

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:UKMA.0000036100.76611.66

Keywords

Navigation