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Remarks on a paper of D. Ludwig. (English) Zbl 0256.35008


MSC:

35F05 Linear first-order PDEs
35B40 Asymptotic behavior of solutions to PDEs
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[1] C. Chester, B. Friedman, and F. Ursell, An extension of the method of steepest descents, Proc. Cambridge Philos. Soc. 53 (1957), 599 – 611. · Zbl 0082.28601
[2] V. Guillemin and D. Schaeffer, Maslov theory and singularities, M.I.T., Cambridge, Mass., 1972. (Mimeographed notes.)
[3] Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79 – 183. · Zbl 0212.46601 · doi:10.1007/BF02392052
[4] Donald Ludwig, Uniform asymptotic expansions at a caustic, Comm. Pure Appl. Math. 19 (1966), 215 – 250. · Zbl 0163.13703 · doi:10.1002/cpa.3160190207
[5] V. Maslov, Perturbation theory and asymptotic methods, Moskov. Gos. Univ., Moscow, 1965. (Russian)
[6] V. Maslov, The characteristics of pseudo-differential operators and difference schemes, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 755 – 769.
[7] Rene Tom and Garol\(^{\prime}\)d Levin, Singularities of differentiable mappings, Singularities of Differentiable Maps (Russian), Izdat. ”Mir”, Moscow, 1968, pp. 9 – 101 (Russian).
[8] R. Thom, Morphogenesis, Addison-Wesley, Reading, Mass., 1972. · Zbl 0336.92007
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