Result: Absolutely minimizing Lipschitz extension with discontinuous boundary data
Title:
Absolutely minimizing Lipschitz extension with discontinuous boundary data
Authors:
Source:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 327:563-568
Publisher Information:
Elsevier BV, 1998.
Publication Year:
1998
Subject Terms:
viscosity solution, Algorithms for approximation of functions, Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, nonlinear elliptic equation, Nonlinear elliptic equations, image interpolation, 0101 mathematics, Computing methodologies for image processing, 01 natural sciences, 0105 earth and related environmental sciences
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
0764-4442
DOI:
10.1016/s0764-4442(98)89164-7
Access URL:
Rights:
Elsevier TDM
Accession Number:
edsair.doi.dedup.....918a063c272dbce4579efbf11f3bb76f
Database:
OpenAIRE
Further Information
Summary: Aronsson's notion of absolutely minimizing Lipschitz extension, solution of the nonlinear equation \(D^2u(Du, Du)=0\) in the viscosity sense, well defined in a bounded domain with continuous boundary condition, is extended to the case of a boundary condition having a finite number of jumps. This extension with discontinuous boundary data is relevant in image interpolation theory.