This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ALINHAC S., Parametrixe pour un système hyperbolique à multiplicité variable, à paraître in Comm. in P.D.E. 1977
ALINHAC S., Parametrixe pour un problème de Cauchy singulier, séminaire Goulaouic-Schwartz Ecole Polytechnique 1977.
ANDERSON, K.G.-MELROSE R., The propagation of singularities along gliding rays. Inventiones Math. 41, 197–232. 1977.
BOUTET de MONVEL L., Comportement d'un opérateur pseudo-différentiel sur une variété à bord. Journal Anal. Math. 17, 1966, 241–304.
BOUTET de MONVEL L., Boundary problems for pseudo-differential operators Acta Math., 11–51, 1971.
BOUTET de MONVEL L., Hypoelliptic operators with double characteristics and related pseudo-differential operators. Comm. Pure and Appl. 27, 1974.
CHAZARAIN, J., Operateurs hyperboliques à caractéristiques de multiplicité constante. Ann. Inst. Fourier 24, 1974, pp.173–202.
COURANT R., LAX, A., The propagation of discontinuities in wave motion. Acad. Sci. USA. vol 42, 1956, pp. 497–502.
ESKIN G., A parametrix for mixed problems for strictly hyperbolic equations of arbitrary order. Comm. in Partial Diff. Eq. 7 (6); 521–560 1976.
HORMANDER L., Fourier Integral operators, Acta Math., 127, 1971, 79–183.
HORMANDER L., The Cauchy problem for differential equations with double characteristics. JOurnal Anal. Math. 1977.
IVRII V.J., Sufficient conditions for regular and completely regular hyperbolicity., Trudy Moskov Obsc. T. 33, 1976.
IVRII V.J., Wave front of solutions of certain pseudo-differential equations, Funktsional'nyi Analizi Ego Prilozheniya, 1976 Vol 10, No2.
IVRII V.J., Wave front sets of solutions of some microlocally hyperbolic pseudo-differential equation, Soviet Math. Dokl. 1976, T. 226 No5.
IVRII V.J., Wave front of solutions of some hyperbolic equations and conical refraction. Soviet Math. Dokl. T 226, No6 1976
IVRII V.J., PETKOV, Necessary conditions for the correctness of the Cauchy problem for non strictly hyperbolic equ. Usp. Math. Nauk No5 (170).
LASCAR R., Propagation des singularités pour des opérateurs pseudo-différentiels à multiplicité variable. Note C.R.A.S. 1976.
LUDWIG D., Exact and asymptotic solution of the Cauchy problem. Comm. on Pure and App. vol 13, 473–508, 1960.
MELROSE R., Local Fourier Airy integral operators, Duke Math. J. 42 1975.
MELROSE R., Microlocal parametrices for diffractive boundary values problems, Duke Math. J. 42, 1975.
MELROSE R., Normal self intersections of the characteristic-variety Note A.M.S., 1976.
MELROSE R., Equivalence of glancing hypersurfaces, Inventiones 1977.
SIBUYA Y., Global theory of second order linear diff. eq. with polynomial coeff. (North-Holland).
SIBUYA Y., Uniform. simplification in a full neighborhood of a transition point. (memoirs AMS, 1974, No149).
TAYLOR M., Grazing rays and reflection of singularities of solution of wave equation, C.P.A.M., 29, 1976.
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this chapter
Cite this chapter
Lascar, R. (1981). Parametrices microlocales pour un probleme de Cauchy hyperbolique a caracteristiques de multiplicite variable. In: Propagation des Singularités des Solutions d’Equations Pseudo-Différentielles à Caractéristiques de Multiplicités Variables. Lecture Notes in Mathematics, vol 856. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089185
Download citation
DOI: https://doi.org/10.1007/BFb0089185
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10702-6
Online ISBN: 978-3-540-38658-2
eBook Packages: Springer Book Archive