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https://hdl.handle.net/10316/114115| Title: | Fully nonlinear Hamilton–Jacobi equations of degenerate type | Authors: | Jesus, David Pimentel, Edgard A. Urbano, José Miguel |
Keywords: | Degenerate elliptic operators; Hamilton–Jacobi equation; Lipschitz regularity; Two-phase free boundary problems | Issue Date: | 2023 | Publisher: | Elsevier | Project: | PD/BD/150354/2019 UIDB/00324/2020 PTDC/MAT-PUR/28686/2017 UIDB/00324/2020 |
Serial title, monograph or event: | Nonlinear Analysis, Theory, Methods and Applications | Volume: | 227 | Abstract: | We examine Hamilton–Jacobi equations driven by fully nonlinear degenerate elliptic operators in the presence of superlinear Hamiltonians. By exploring the Ishii–Jensen inequality, we prove that viscosity solutions are locally Lipschitzcontinuous, estimates depending on the structural conditions of the problem. We close the paper with an application of our findings to a two-phase free boundary problem. | URI: | https://hdl.handle.net/10316/114115 | ISSN: | 0362546X | DOI: | 10.1016/j.na.2022.113181 | Rights: | openAccess |
| Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Fully nonlinear Hamilton–Jacobi equations of degenerate type.pdf | 745.1 kB | Adobe PDF | View/Open |
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