Weakly hyperbolic equations with time degeneracy in Sobolev spaces.
Reissig, Michael (1997)
Abstract and Applied Analysis
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Reissig, Michael (1997)
Abstract and Applied Analysis
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Reula, Oscar A. (1998)
Living Reviews in Relativity [electronic only]
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Yvonne Choquet-Bruhat (1991)
Mémoires de la Société Mathématique de France
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Dennis M. DeTurck (1983)
Compositio Mathematica
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Nishitani, Tatsuo (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 35L15, Secondary 35L30. In this paper we prove that for non effectively hyperbolic operators with smooth double characteristics with the Hamilton map exhibiting a Jordan block of size 4 on the double characteristic manifold the Cauchy problem is well posed in the Gevrey 6 class if the strict Ivrii-Petkov-Hörmander condition is satisfied.
Daniela Calvo (2006)
Bollettino dell'Unione Matematica Italiana
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We prove the well-posedness of the Cauchy Problem for first order weakly hyperbolic systems in the multi-anisotropic Gevrey classes, that generalize the standard Gevrey spaces. The result is obtained under the following hypotheses: the principal part is weakly hyperbolic with constant coefficients, the lower order terms satisfy some Levi-type conditions; and lastly the coefficients of the lower order terms belong to a suitable anisotropic Gevrey class. In the proof it is used the quasi-symmetrization...
H. Komatsu (1980-1981)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Renato Manfrin (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Eero Saksman, Tomás Soto (2017)
Analysis and Geometry in Metric Spaces
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We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z). They generalize the classical results from the Euclidean setting, since the traces of these function spaces onto any closed Ahlfors regular subset F ⊂ Z are Besov spaces defined intrinsically on F. Our method employs the definitions...
Hideo Yamahara (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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N. Iwasaki (1985-1986)
Séminaire Équations aux dérivées partielles (Polytechnique)
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