6533b827fe1ef96bd12871e7
RESEARCH PRODUCT
Solutions to the 1-harmonic flow with values into a hyper-octant of the N-sphere
José M. MazónSalvador MollLorenzo Giacomellisubject
Unit spheren-sphereGeodesicApplied MathematicsMathematical analysisA domainharmonic flowsOctant (solid geometry)non-convex variational problems1-harmonic flowlower semi-continuity and relaxation; total variation flow; 1-harmonic flow; non-convex variational problems; image processing; geodesic; partial differential equations; harmonic flowsimage processingHomogeneoustotal variation flowNeumann boundary conditionJumppartial differential equationslower semi-continuity and relaxationgeodesicMathematicsdescription
Abstract We announce existence results for the 1-harmonic flow from a domain of R m into the first hyper-octant of the N -dimensional unit sphere, under homogeneous Neumann boundary conditions. The arguments rely on a notion of “geodesic representative” of a BV-vector field on its jump set.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-11-01 |