Singularities of solutions of the caught problem for symmetric hyperbolic systems

Seiichiro Wakabayashi

Type: Article

Publication Date: 1984-01-01

Citations: 28

DOI: https://doi.org/10.1080/03605308408820360

View Publication

Locations

Communications in Partial Differential Equations - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Parametrices and propagation of singularities near gliding points for mixed problems for symmetric hyperbolic systems, I	1984	Kôji Kubota
+	Development of singularities for nonlinear hyperbolic systems with periodic data	1996	Ferruccio Colombini Daniele Del Santo
+ PDF Chat	Singularities and Cauchy problem for Fuchsian hyperbolic equations	1986	Antonio Bove Jeff E. Lewis Cesare Parenti Hidetoshi Tahara
+ PDF Chat	Development of singularities in solutions of a hyperbolic system	2001	Salim A. Messaoudi
+	SINGULARITIES OF HYPERBOLIC PDEs IN TWO COMPLEX VARIABLES	1986	PETER A. MCCOY
+ PDF Chat	Singularities of solutions of the Cauchy problem for hyperbolic systems in Gevrey classes	1985	Seiiehiro WAKABAYASHI
+ PDF Chat	Propagation of the singularities for hyperbolic equations with constant coefficients	1976	Mikio Tsuji
+	Propagation of the singularities for hyperbolic equations with constant coefficients	1977	幹雄辻
+	Propagation of singularities for a hyperbolic system with double characteristics	1982	Wataru Ichinose
+	Blow Up and Singularities of the Solutions of Homogeneous Quasilinear Hyperbolic Systems in the Plane	1998	Petar Popivanov Angela Slavova
+	Singularities of light hypersurfaces and structure of hyperbolicity sets for systems of partial differential equations	1990	Boris Khesin
+	Propagation of Singularities for Hyperbolic Mixed Problems	1977	Seiichiro Wakabayashi
+	Addendum: Singularities of flat fronts in hyperbolic space	2018	Masatoshi Kokubu Wayne Rossman Kentaro Saji Masaaki Umehara Kotaro Yamada
+	Propagation of singularities in the Cauchy problem for a class of degenerate hyperbolic operators	2007	Alessia Ascanelli Massimo Cicognani
+	FORMATION OF SINGULARITIES FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY	2005	Xu Yumei
+	On Statistical Properties of Hyperbolic Systems with Singularities	2009	N. Chernov Hong-Kun Zhang
+	HYPERBOLIC EQUATIONS, WAVES AND THE SINGULARITY THEORY	2001	M. Tsuji
+	Singularities of solutions of nonlinear equations	1965	James Serrin
+	Review: Michael Beals, Propagation and interaction of singularities in nonlinear hyperbolic problems	1991	Jeffrey Rauch
+	Resolving the singularities of differential equations	1985	Samir A. Khabbaz

Works That Cite This (27)

Action	Title	Year	Authors
+ PDF Chat	Microlocal <i>a priori</i> estimates and the Cauchy problem I	1993	Kunihiko Kajitani Seiichiro Wakabayashi
+ PDF Chat	Singularities of solutions of the Cauchy problem for hyperbolic systems in Gevrey classes	1985	Seiiehiro WAKABAYASHI
+ PDF Chat	Propagation of wave front set in Gevrey class for an example of hyperbolic system	1986	Yoshinori Morimoto
+	On a class of hyperbolic operators with double characteristics	1988	Enrico Bernardi Antonio Bove Cesare Parenti
+ PDF Chat	Singularities of Solutions to the Cauchy Problem for a Class of Second-Order Hyperbolic Operators	2014	Seiichiro Wakabayashi
+ PDF Chat	Microhyperbolic Operators in Gevrey Classes	1989	Kunihiko Kajitani Seiichiro Wakabayashi
+	On the propagation of singularities for pseudo-differential operators with characteristics of variable multiplicity	1992	Nils Dencker
+	Geometric results for a class of hyperbolic operators with double characteristics	1988	Enrico Bernardi Antonio Bove
+ PDF Chat	Geometric Transition for a Class of Hyperbolic Operators with Double Characteristics	1995	Enrico Bernardi Antonio Bove
+ PDF Chat	Semiclassical Resonance Asymptotics for Systems With Degenerate Crossings of Classical Trajectories	2023	Marouane Assal Setsuro Fujiié Kenta Higuchi

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Singularities of solutions of the Cauchy problem for hyperbolic systems in Gevrey classes	1985	Seiiehiro WAKABAYASHI
+	Extremal H-convex bodies	1979	E. M. Bronshteîn
+	The Cauchy problem for differential equations with double characteristics	1977	Lars Hörmander
+	NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED	1974	Victor Ivrii Vesselin Petkov
+	Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part	1983	Seiichro Wakabayashi
+	On linear partial differential equations with analytic coefficients unique continuation of data	1949	Fritz John
+	Linear Partial Differential Operators	1963	Lars Hörmander
+ PDF Chat	Lacunas for hyperbolic differential operators with constant coefficients I	1970	Michael Atiyah R. Bott Lars Gårding
+	Propagation of singularities of solutions for a hyperbolic system with nilpotent characteristics, II	1984	Chisato Iwasaki Yoshinori Morimoto
+	Smoothness of roots of polynomials depending on parameters	1980	Michael D. Bronshtein