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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).
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Cited in 3 Reviews
Cited in 51 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
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