Skip to main content
SpringerLink
Log in

A remark on the mild solutions of non-local evolution equations

  • Research Article
  • Published:
Semigroup Forum Aims and scope Submit manuscript

Abstract

We provide a counterexample to some recent publications concerning the existence of the mild solutions of the non-local evolution equations, and indicate that in the study of the non-local evolution equations, the operators from which the mild solutions may be derived are in general not compact, thus those fixed point theorems requiring the compactness of the operators are not applicable.

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

Access this article

Log in via an institution

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

Author information

Authors and Affiliations

  1. Department of Mathematics, James Madison University, 22807, Harrisonburg, VA, USA

    James H. Liu

Authors
  1. James H. Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to James H. Liu.

Additional information

Communicated by Jerome A. Goldstein

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, J.H. A remark on the mild solutions of non-local evolution equations. Semigroup Forum 66, 63–67 (2002). https://doi.org/10.1007/s002330010158

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002330010158

Keywords

Search

Navigation