期刊
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
卷 162, 期 1, 页码 1-23出版社
SPRINGER-VERLAG
DOI: 10.1007/s002050100176
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Few results are available in the mathematical literature for studying the structure of the singular set of a weak solution a of F(x, u, Du) = 0. This paper provides new techniques to analyse such a sot when u is semiconcave and F is a nonlinear convex function with respect to p. The main objective achieved here is a classification of the singularities of u that propagate along Lipschitz arcs. Such a propagation phenomenon is also described by means of a generalized characteristics inclusion.
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