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Subjects
35-XX Partial differential equations
35Fxx General first-order equations and systems
35F30 Boundary value problems for nonlinear first-order equations

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Convergence of an accurate scheme for first order quasi linear equations

Alain Yves Le Roux (1981)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Cut and singular loci up to codimension 3

Pablo Angulo Ardoy, Luis Guijarro (2011)

Annales de l’institut Fourier

We give a new and detailed description of the structure of cut loci, with direct applications to the singular sets of some Hamilton-Jacobi equations. These sets may be non-triangulable, but a local description at all points except for a set of Hausdorff dimension $n - 2$ is well known. We go further in this direction by giving a classification of all points up to a set of Hausdorff dimension $n - 3$ .

Currently displaying 1 – 2 of 2

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