Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On uniqueness sets of additive eigenvalue problems and applications


Authors: Hiroyoshi Mitake and Hung V. Tran
Journal: Proc. Amer. Math. Soc. 146 (2018), 4813-4822
MSC (2010): Primary 35B40, 37J50, 49L25
DOI: https://doi.org/10.1090/proc/14152
Published electronically: August 8, 2018
MathSciNet review: 3856148
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we provide a simple way to find uniqueness sets for additive eigenvalue problems of first and second order Hamilton-Jacobi equations by using a PDE approach. An application in finding the limiting profiles for large time behaviors of first order Hamilton-Jacobi equations is also obtained.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 35B40, 37J50, 49L25

Retrieve articles in all journals with MSC (2010): 35B40, 37J50, 49L25


Additional Information

Hiroyoshi Mitake
Affiliation: Institute for Sustainable Sciences and Development, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima-shi 739-8527, Japan
Address at time of publication: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan
Email: mitake@ms.u-tokyo.ac.jp

Hung V. Tran
Affiliation: Department of Mathematics, University of Wisconsin Madison, 480 Lincoln Drive, Madison, Wisconsin 53706
Email: hung@math.wisc.edu

DOI: https://doi.org/10.1090/proc/14152
Keywords: Uniqueness set, Hamilton--Jacobi equations, Mather measures, nonlinear adjoint methods
Received by editor(s): February 4, 2018
Received by editor(s) in revised form: March 1, 2018
Published electronically: August 8, 2018
Additional Notes: The work of the first author was partially supported by the JSPS grants: KAKENHI #15K17574, #26287024, and #16H03948, and the work of the second author was partially supported by NSF grants DMS-1615944 and DMS-1664424.
Communicated by: Joachim Krieger
Article copyright: © Copyright 2018 American Mathematical Society