dc.contributor.advisor Jakobsen, Espen Robstad nb_NO dc.contributor.advisor Jakobsen, Espen nb_NO dc.contributor.author Duguma, Tadesse Guluma nb_NO dc.date.accessioned 2014-12-19T14:00:29Z dc.date.available 2014-12-19T14:00:29Z dc.date.created 2014-06-28 nb_NO dc.date.issued 2014 nb_NO dc.identifier 730605 nb_NO dc.identifier ntnudaim:9452 nb_NO dc.identifier.uri http://hdl.handle.net/11250/259308 dc.description.abstract maximum principle is one among the most useful and best known tools used in the study of partial differential equations. This principle is a generalization of the well known fact of calculus that any function u(x) which satisfies the inequality u'' > 0 on an interval \$[c,d]\$ achieves its maximum value at one of the endpoints of the interval. We express this by saying that solutions of the inequality u'' > 0 satisfy a maximum principle.The study of partial differential equations usually begins with a classification of equations into different types. The equations frequently studied are those of the type elliptic, parabolic and hyperbolic. Solutions of these partial differential equations are also classified as classical solution, weak or generalized solution and viscosity solution. This work is developed in three chapters based on this classifications.The first chapter treats the maximum principles of classical solutions of elliptic and parabolic type. In Chapter 2 we establish the maximum principle of the generalized solution for second-order elliptic operators and the third and last chapter treats the so called viscosity solutions. nb_NO dc.language eng nb_NO dc.publisher Institutt for matematiske fag nb_NO dc.title Maximum Principles for Differential Equations nb_NO dc.type Master thesis nb_NO dc.source.pagenumber 81 nb_NO dc.contributor.department Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag nb_NO
﻿