Rectifiability of the jump set of locally integrable functions

G Del Nin - arxiv preprint arxiv:2001.04675, 2020 - arxiv.org
arxiv:2001.04675v2 [math.CA] 15 Feb 2021 Page 1 arxiv:2001.04675v2 [math.CA] 15 Feb
2021 RECTIFIABILITY OF THE JUMP SET OF LOCALLY INTEGRABLE FUNCTIONS …

-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics

K Koumatos, AP Vikelis - SIAM Journal on Mathematical Analysis, 2021 - SIAM
A Gårding-type inequality is proved for a quadratic form associated to A-quasiconvex
functions. This quadratic form appears as the relative entropy in the theory of conservation …

[PDF][PDF] Quasiconvexity and PDE constraints: analysis and applications

AP Vikelis - 2022 - core.ac.uk
In this thesis we focus on questions of stability, existence and uniqueness for PDE
constrained problems in both dynamics and statics under appropriate convexity conditions …