Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are 𝐶�1,1/2, and that near non-degenerate points the fracture set is 𝐶�1,𝛼�, for some 𝛼�∈(0,1). Show more
Journal / seriesArchive for Rational Mechanics and Analysis
Pages / Article No.
Organisational unit09565 - Figalli, Alessio / Figalli, Alessio
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