Skip to main content
SpringerLink
Log in

A Class of Hamilton—Jacobi Equations with Unbounded Coefficients in Hilbert Spaces

  • Published:
Applied Mathematics & Optimization Aims and scope Submit manuscript

Abstract.

We establish existence and comparison theorems for a class of Hamilton—Jacobi equations. The class of Hamilton—Jacobi equations includes and is broader than those studied in [8] We apply the existence and uniqueness results to characterizing the value functions associated with the optimal control of systems governed by partial differential equations of parabolic type.

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

Author information

Authors and Affiliations

  1. Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan, Japan

    K. Shimano

Authors
  1. K. Shimano
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Accepted 11 May 2001. Online publication 5 October 2001.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shimano, K. A Class of Hamilton—Jacobi Equations with Unbounded Coefficients in Hilbert Spaces. Appl Math Optim 45, 75–98 (2002). https://doi.org/10.1007/s00245-001-0028-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00245-001-0028-4

Search

Navigation