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https://dspace.ctu.edu.vn/jspui/handle/123456789/100886
Title: | On the existence, uniqueness, and stability of ẞ-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 journal;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/123456789/100886 |
ISSN: | 0251-4184 |
Appears in Collections: | Acta Mathematica Vietnamica |
Files in This Item:
File | Description | Size | Format | |
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Your IP: 3.145.43.92 |
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