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Reflection of \(C^\infty\) singularities for a class of operators with multiple characteristics. (English) Zbl 0365.35050


MSC:

35S10 Initial value problems for PDEs with pseudodifferential operators
35A20 Analyticity in context of PDEs
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References:

[1] Chazarain, J., Operateurs hyperboliques a caracteristiques de multiplicite constante, Ann. Inst. Fourier, 24 (1974), 173-202. · Zbl 0274.35045 · doi:10.5802/aif.497
[2] Chazarain, J., Propagation des singularites pour une classe d’operateurs a carac- teristiques multiples et resolubilite locale, Ann. Inst. Fourier, 24 (1974), 203-223. · Zbl 0274.35007 · doi:10.5802/aif.498
[3] Hormande, L., Pseudo-differential operators and non elliptic boundary problem, Ann. of Math., 83 (1966), 129-209. · Zbl 0132.07402 · doi:10.2307/1970473
[4] Hormander, L., Fourier Integral Operators I, Acta Math., 127 (1971), 79-183.
[5] Majda, A. and Osher, S., Reflection of singularities at the boundary, Comm. Pure Appl. Math., 28 (1975), 479-499. · Zbl 0307.35077 · doi:10.1002/cpa.3160280404
[6] Nirenberg, L., Lectures on linear partial differential equations, Regional Conf. series in Math, NO 17, A.M.S., (1973). · Zbl 0267.35001
[7] Taylor, M., Reflection of singularities of solutions to systems of differential equations, Comm. Pure Appl. Math., 28 (1975), 457-478. · Zbl 0332.35058 · doi:10.1002/cpa.3160280403
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