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Singularities produced by the nonlinear interaction of three progressing waves; examples. (English) Zbl 0502.35060


MSC:

35L67 Shocks and singularities for hyperbolic equations
35L70 Second-order nonlinear hyperbolic equations
35B65 Smoothness and regularity of solutions to PDEs

Citations:

Zbl 0449.35006
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Full Text: DOI

References:

[1] Beals M., preprint (1981)
[2] Beals M., Cornm. Pure Appl. Math
[3] Bony J. M., preprint (1980)
[4] Bony, J. M. ”Propagation des singularités pourles equations aux dérivées partielles non-linéaires,” Exposé XXII, Seminaire Goulaouic-Schwartz, 1979-1980.
[5] Bony J. M., Private communication
[6] Lascar B., C. R. Acad. Sci. Paris 287 pp 527– (1978)
[7] Rauch J., J. Math. Pure et. Appl. 58 pp 299– (1979)
[8] Rauch J., Cornm. Math. Phys. 81 pp 203– (1981) · Zbl 0468.35064
[9] Rauch J., in preparation
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