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https://dspace.ctu.edu.vn/jspui/handle/123456789/71577| Title: | On the existence, uniqueness, and stability of β-viscosity solutions to a class of Hamilton-Jacobi equations in banach spaces |
| Authors: | Tran, Van Bang Phan, Trong Tien |
| Keywords: | β-borno Viscosity solutions Hamilton-Jacobi equations Nonlinear partial differential equations |
| Issue Date: | 2020 |
| Series/Report no.: | Acta Mathematica Vietnamica;Vol.45_No.03 .- P.571-590 |
| Abstract: | This paper is concerned with the qualitative properties of viscosity solutions to a class of Hamilton-Jacobi equations (HJEs) in Banach spaces. Specifically, based on the concept of β-derivative (Deville et al. 1993), we establish the existence, uniqueness and stability of β-viscosity solutions for a class of HJEs in the form u + H(x, u, Du) = 0. The obtained results in this paper extend earlier works in the literature, for example, Crandall and Lions (J. Funct. Anal. 62. 379-398, 1985. J. Funct. Anal.. 65. 368-405. 1986) and Deville et al. (1993). |
| URI: | https://dspace.ctu.edu.vn/jspui/handle/123456789/71577 |
| ISSN: | 0251-4184 |
| Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| _file_ Restricted Access | 3.28 MB | Adobe PDF | ||
| Your IP: 3.145.88.111 |
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