The stationary phase method in Gevrey classes and Fourier integral operators on ultradistributions
Todor V. Gramchev (1987)
Banach Center Publications
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Todor V. Gramchev (1987)
Banach Center Publications
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Luigi Rodino (1986)
Journées équations aux dérivées partielles
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Nagaraj, B.R., Jain, Rahul (2006)
International Journal of Mathematics and Mathematical Sciences
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T. B. Boev (1987)
Banach Center Publications
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Massimo Cicognani (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Petar Popivanov, Iordan Iordanov (2003)
Banach Center Publications
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This paper deals with the newly observed singularities of the solutions of some specific examples of weakly hyperbolic semilinear systems in R². Two, respectively three, characteristics are supposed to be mutually tangential at the origin only and the initial data are continuous only. The exact strength of the new-born singularities is investigated too.
Antonio Campillo (1988)
Banach Center Publications
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Buchner, Klaus (1997)
General Mathematics
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Boris Sternin, Victor Shatalov (1996)
Banach Center Publications
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The aim of this paper is to construct asymptotic solutions to multidimensional Fuchsian equations near points of their degeneracy. Such construction is based on the theory of resurgent functions of several complex variables worked out by the authors in [1]. This theory allows us to construct explicit resurgent solutions to Fuchsian equations and also to investigate evolution equations (Cauchy problems) with operators of Fuchsian type in their right-hand parts.
Otto Liess (1988)
Mathematische Zeitschrift
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G.M. Greuel, H. Kröning (1990)
Mathematische Zeitschrift
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Rodino, Luigi, De Donno, Giuseppe (2000)
Rendiconti del Seminario Matematico
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Marko Roczen (1992)
Mathematische Zeitschrift
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