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dc.contributor.advisorJakobsen, Espen Robstadnb_NO
dc.contributor.authorEndal, Jørgennb_NO
dc.date.accessioned2014-12-19T14:00:16Z
dc.date.available2014-12-19T14:00:16Z
dc.date.created2013-10-11nb_NO
dc.date.issued2013nb_NO
dc.identifier655557nb_NO
dc.identifierntnudaim:9366nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/259223
dc.description.abstractWe 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.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.titleNonlinear fractional convection-diffusion equations, with nonlocal and nonlinear fractional diffusionnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber71nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


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