Propagation of singularities for operators with contant coefficient hyperbolic-elliptic principal part
DOI10.1007/BF01762422zbMath0653.35084OpenAlexW2006174252MaRDI QIDQ1107749
Andrea Corli, Massimo Cicognani
Publication date: 1987
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01762422
fundamental solutionultradistributionsprincipal partpropagation of Gevrey singularitieshyperbolic-ellipticmicrolocallysemiglobal solvabiliy
Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Continuation and prolongation of solutions to PDEs (35B60) Geodesic flows in symplectic geometry and contact geometry (53D25) Relations of PDEs on manifolds with hyperfunctions (58J15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Cites Work
- Differential operators with constant coefficients of hyperbolic- (hypo)elliptic type
- Hybrids between hyperbolic and elliptic differential operators with constant coefficients
- Propagation of singularities for hyperbolic operators with constant coefficient principal part
- Generalized hyperbolicity
- Lacunas for hyperbolic differential operators with constant coefficients.I
- Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part
- Local hyperbolicity
- ASYMPTOTIC PROPERTIES OF POLYNOMIALS AND ALGEBRAIC FUNCTIONS OF SEVERAL VARIABLES
- Factorizations and fundamental solutions for differential operators of elliptic-hyperbolic type
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