On uniqueness sets of additive eigenvalue problems and applications
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- by Hiroyoshi Mitake and Hung V. Tran PDF
- Proc. Amer. Math. Soc. 146 (2018), 4813-4822 Request permission
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
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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
- MR Author ID: 824759
- Email: mitake@ms.u-tokyo.ac.jp
- Hung V. Tran
- Affiliation: Department of Mathematics, University of Wisconsin Madison, 480 Lincoln Drive, Madison, Wisconsin 53706
- MR Author ID: 799584
- Email: hung@math.wisc.edu
- 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
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 4813-4822
- MSC (2010): Primary 35B40, 37J50, 49L25
- DOI: https://doi.org/10.1090/proc/14152
- MathSciNet review: 3856148