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. 1956 Nov;42(11):872–876. doi: 10.1073/pnas.42.11.872
THE PROPAGATION OF DISCONTINUITIES IN WAVE MOTION*,†
1NEW YORK UNIVERSITY
*
Dedicated to Carl Ludwig Siegel in Göttingen on his sixtieth birthday.
†
† A detailed paper will appear in Comm. Pure and Appl. Math. The laws of propagation of discontinuities along bicharacteristics, in particular for differential equations of second order, have often been discussed in the literature. (See, e.g., R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. II, chaps. V, VI, and J. B. Keller, “Geometrical Acoustics I. The Theory of Weak Shock Waves,” J. Appl. Phys.,25, 938-947, 1954.)
PMCID: PMC528355 PMID: 16589962