dc.contributor.advisor | Jakobsen, Espen Robstad | nb_NO |
dc.contributor.author | Endal, Jørgen | nb_NO |
dc.date.accessioned | 2014-12-19T14:00:16Z | |
dc.date.available | 2014-12-19T14:00:16Z | |
dc.date.created | 2013-10-11 | nb_NO |
dc.date.issued | 2013 | nb_NO |
dc.identifier | 655557 | nb_NO |
dc.identifier | ntnudaim:9366 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/259223 | |
dc.description.abstract | We study nonlinear fractional convection-diffusion equations with nonlocal and nonlinear fractional diffusion. By the idea of Kru\v{z}kov (1970), entropy sub- and supersolutions are defined in order to prove well-posedness under the assumption that the solutions are elements in $L^{\infty}(\mathbb{R}^d\times (0,T))\cap C([0,T];L_\text{loc}^1(\mathbb{R}^d))$. Based on the work of Alibaud (2007) and Cifani and Jakobsen (2011), a local contraction is obtained for this type of equations for a certain class of L\'evy measures. In the end, this leads to an existence proof for initial data in $L^{\infty}(\mathbb{R}^d)$ | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.title | Nonlinear fractional convection-diffusion equations, with nonlocal and nonlinear fractional diffusion | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 71 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |