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Propagation of singularities of solutions to semilinear boundary value problems
Author(s):
Florin
David;
Mark
Williams
Journal:
Bull. Amer. Math. Soc.
15
(1986),
201-204.
MSC (1980):
Primary 58G17, 35L70
MathSciNet review:
854554
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Additional information
References:
- 1.
- A. Alabidi, Réflexion transverse des singularités pour un problème aux limites non linéaire d'ordre 2, C.R. Acad. Sci. Paris 300 (1985), 287-290. MR 786901
- 2.
- M. Beals, Propagation of smoothness for nonlinear second order strictly hyperbolic differential equations, preprint, 1985. MR 812282
- 3.
- M. Beals and M. Reed, Propagation of singularities for hyperbolic pseudodifferential operators with nonsmooth coefficients, Comm. Pure Appl. Math. 35 (1982), 169-184. MR 644021
- 4.
- F. David and M. Williams, Singularities of solutions to semilinear boundary value problems (in preparation).
- 5.
- L. Hörmander, Linear partial differential operators, Springer-Verlag, Berlin, 1969. MR 248435
- 6.
- L. Hörmander, The analysis of linear partial differential operators. III, Springer-Verlag, Berlin, 1985. MR 781537
- 7.
- R. B. Melrose, Microlocal parametrices for diffractive boundary value problems, Duke Math. J. 42 (1975), 605-635. MR 517101
- 8.
- R. B. Melrose and J. Sjöstrand, Singularities of boundary value problems. I, II, Comm. Pure Appl. Math. 31 (1978), 593-617; 35 (1982), 129-168. MR 492794
- 9.
- J. Rauch, Singularities of solutions to semilinear wave equations, J. Math. Pures Appl. 58 (1979), 299-308. MR 544255
- 10.
- M. Sablé-Tougeron, Paralinearisation de problèmes aux limites non linéaires, C. R. Acad. Sci. Paris 299 (1984), 169-171. MR 759224
- 11.
- M. Sablé-Tougeron, Regularité microlocale pour des problèmes aux limites non linéaires, C.R. Acad. Sci. Paris 300 (1985), 283-286. MR 786900
- 12.
- M. E. Taylor, Grazing rays and reflection of singularities of solutions to wave equations, Comm. Pure Appl. Math. 29 (1976), 1-38. MR 397175
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Additional Information:
DOI:
10.1090/S0273-0979-1986-15472-8
PII:
S 0273-0979(1986)15472-8
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