Faculty Advisor

Larsen, Christopher J.

Abstract

A compactness result is proved for SBV, the space of special functions of bounded variation. It is shown that a sequence of functions of SBV on an open, bounded domain with Lipschitz boundary with three quantities bounded will have a subsequence that weakly converges in BV to a function that is also in SBV. This theorem has implications for the existence of desired solutions in problems from the calculus of variations.

Publisher

Worcester Polytechnic Institute

Date Accepted

January 2005

Major

Physics

Project Type

Major Qualifying Project

Accessibility

Restricted-WPI community only

Advisor Department

Mathematical Sciences

Advisor Program

Mathematical Sciences

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