caa a22 4500 445843608 CHVBK 20180317145352.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00526-010-0338-y doi (NATIONALLICENCE)springer-10.1007/s00526-010-0338-y Balanced split sets and Hamilton-Jacobi equations [Elektronische Daten] [Pablo Angulo Ardoy, Luis Guijarro] We study the singular set of solutions to Hamilton-Jacobi equations with a Hamiltonian independent of u. In a previous paper, we proved that the singular set is what we called a balanced split locus. In this paper, we find and classify all balanced split loci, identifying the cases where the only balanced split locus is the singular locus, and the cases where this does not hold. This clarifies the relationship between viscosity solutions and the classical approach of characteristics, providing equations for the singular set. Along the way, we prove more structure results about the singular sets. Springer-Verlag, 2010 Angulo Ardoy Pablo Department of Mathematics, ICMAT CSIC-UAM-UCM-UC3M, Universidad Autónoma de Madrid, Madrid, Spain aut Guijarro Luis Department of Mathematics, ICMAT CSIC-UAM-UCM-UC3M, Universidad Autónoma de Madrid, Madrid, Spain aut Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 223-252 0944-2669 40:1-2<223 2011 40 526 https://doi.org/10.1007/s00526-010-0338-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0338-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Angulo Ardoy Pablo Department of Mathematics, ICMAT CSIC-UAM-UCM-UC3M, Universidad Autónoma de Madrid, Madrid, Spain aut NATIONALLICENCE 700 1- Guijarro Luis Department of Mathematics, ICMAT CSIC-UAM-UCM-UC3M, Universidad Autónoma de Madrid, Madrid, Spain aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 223-252 0944-2669 40:1-2<223 2011 40 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer