Rauch, Jeffrey; Reed, Michael Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. (English) Zbl 0503.35055 Duke Math. J. 49, 397-475 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 46 Documents MSC: 35L67 Shocks and singularities for hyperbolic equations 35L60 First-order nonlinear hyperbolic equations 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 42B99 Harmonic analysis in several variables Keywords:nonlinear microlocal analysis; semilinear hyperbolic systems; one space dimension; semilinear, strictly hyperbolic system; microlocal regularity; directional Sobolev spaces; regularity index; singular support Citations:Zbl 0407.35057 PDF BibTeX XML Cite \textit{J. Rauch} and \textit{M. Reed}, Duke Math. J. 49, 397--475 (1982; Zbl 0503.35055) Full Text: DOI OpenURL