dc.contributor.author | Vaughn, Randy | en |
dc.contributor.author | Lakshmikantham, V. | en |
dc.date.accessioned | 2010-06-04T13:43:23Z | en |
dc.date.available | 2010-06-04T13:43:23Z | en |
dc.date.issued | 1978-03 | en |
dc.identifier.uri | http://hdl.handle.net/10106/2362 | en |
dc.description.abstract | **Please note that the full text is embargoed** ABSTRACT: In this paper we investigate the theory of parabolic differential inequalities in arbitrary cones. After discussing the fundamental results concerning parabolic inequalities in cones, we prove a result on flow-invariance which is then used to obtain a comparison theorem. This comparison result is useful in deriving upper and lower bounds
on solutions of parabolic differential equations in terms of the solutions of ordinary differential equations. We treat the Dirichlet problem in this paper since its theory follows the general pattern of ordinary differential equations and requires less restrictive assumptions. The treatment of Neumann problem, on the other hand, demands stronger smoothness assumptions and depends heavily on strong maximum principle. The study of the corresponding results relative to Newmann problem is discussed elsewhere. | en |
dc.language.iso | en_US | en |
dc.publisher | University of Texas at Arlington | en |
dc.relation.ispartofseries | Technical Report;78 | en |
dc.subject | Dirichlet problem | en |
dc.subject | Neumann problem | en |
dc.subject | Flow-invariance | en |
dc.subject | Parabolic differential inequalities | en |
dc.subject.lcsh | Mathematical analysis | en |
dc.subject.lcsh | Differential equations | en |
dc.subject.lcsh | Mathematics Research | en |
dc.title | Parabolic Differential Inequalities in Cones | en |
dc.type | Technical Report | en |
dc.publisher.department | Department of Mathematics | en |