Singular sets of minimizers for the Mumford-Shah functional
Manifolds (Mathematics)
Calculus of variations
Boundary value problems
Differential equations, partial
Partial Differential equations
"This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many questions of analysis and geometric measure theory. The main object under scrutiny is a free bounda…
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