Institute of Information Theory and Automation

You are here

Publication details

Boundary effects and weak* lower semicontinuity for signed integral functionals on BV

Journal Article

Benešová B., Kroemer S., Kružík Martin


serial: ESAIM-Control Optimisation and Calculus of Variations vol.21, 2 (2015), p. 513-534

project(s): GAP201/10/0357, GA ČR

keywords: lower semicontinuity, quasiconvexity

preview: Download

abstract (eng):

We characterize lower semicontinuity of integral functionals with respect to weak* convergence in BV, including integrands whose negative part has linear growth. In addition, we allow for sequences without a fixed trace at the boundary. In this case, both the integrand and the shape of the boundary play a key role. This is made precise in our newly found condition – quasi-sublinear growth from below at points of the boundary – which compensates for possible concentration effects generated by the sequence.

RIV: BA

2012-12-21 16:10