A Nonlinear Partial Differential Equation and Its Viscosity Solutions
dc.contributor.advisor | Lindqvist, Lars Peter | |
dc.contributor.author | Reigstad, Audun | |
dc.date.created | 2016-06-17 | |
dc.date.issued | 2016 | |
dc.identifier | ntnudaim:15793 | |
dc.identifier.uri | http://hdl.handle.net/11250/2395885 | |
dc.description.abstract | We study a nonlinear partial differential equation with Lipschitz continuous coefficient functions. Existence and uniqueness of viscosity solutions is proved by approximating with minimizers of variational integrals. The solutions are shown to satisfy a corresponding minimization property. Stability of solutions with respect to small perturbations of the coefficient functions is discussed, and proved for C^2-solutions. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.subject | Fysikk og matematikk, Industriell matematikk | |
dc.title | A Nonlinear Partial Differential Equation and Its Viscosity Solutions | |
dc.type | Master thesis |