RESEARCH COMMONS
LIBRARY

Parabolic Differential Inequalities in Cones

ResearchCommons/Manakin Repository

Parabolic Differential Inequalities in Cones

Show simple item record

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 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

Files in this item

Files Size Format View Description
MathTechReport078.pdf 604.2Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show simple item record

Browse

My Account

Statistics

About Us