Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems (original) (raw)
Related papers
The Cauchy problem for weakly hyperbolic systems
Communications in Partial Differential Equations
The Well-Posedness Issue in Sobolev Spaces for Hyperbolic Systems with Zygmund-Type Coefficients
Communications in Partial Differential Equations, 2015
Weakly hyperbolic systems by symmetrization
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019
L^2 well-posed Cauchy problems and symmetrizability of first order systems
Journal de l’École polytechnique — Mathématiques, 2014
Note on strongly hyperbolic systems with involutive characteristics
Kyoto Journal of Mathematics, 2018
Indiana University Mathematics Journal
Some algebraic properties of the hyperbolic systems
Annali Dell'universita' Di Ferrara, 2006
The Cauchy problem for properly hyperbolic equations in one space variable
Journal of Hyperbolic Differential Equations, 2022
Necessary conditions for hyperbolic systems II
Japanese journal of mathematics. New series
Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators
Operator Theory: Advances and Applications, 2006
Cauchy problems for hyperbolic systems in with irregular principal symbol in time and for
Journal of Differential Equations, 2011
Two by two strongly hyperbolic systems and Gevrey classes
1999
Differential Equations, 2008
On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
Journal d'Analyse Mathématique, 2008
Counterexamples to C ∞ Well Posedness for Some Hyperbolic Operators with Triple Characteristics
2016
On the L2L^2L2 well posedness of Hyperbolic Initial Boundary Value Problems
HAL (Le Centre pour la Communication Scientifique Directe), 2014
Some uniqueness theorems for first order hyperbolic systems
Publications of the Research Institute for Mathematical Sciences, 1975
On the Cauchy problem for noneffectively hyperbolic operators: The Gevrey 4 well-posedness
Kyoto Journal of Mathematics, 2011
On the Cauchy Problem for Non-Effectively Hyperbolic Operators: The Gevrey 3 Well-Posedness
Journal of Hyperbolic Differential Equations, 2011
FA ] 1 4 N ov 2 01 8 Well-posedness of systems of 1-D hyperbolic partial differential equations
2018
On the cauchy problem for weakly hyperbolic equations
Communications in Partial Differential Equations, 1978
A necessary condition for strong hyperbolicity of general first order systems
2017
Cauchy problem for effectively hyperbolic operators with triple characteristics
Comptes Rendus Mathematique, 2014
An ill posed Cauchy problem for a hyperbolic system in two space dimensions
Rend. Sem. Mat. Univ. Padova, 2003
A necessary condition ensuring the strong hyperbolicity of first-order systems
Journal of Hyperbolic Differential Equations, 2019
MATHEMATICA SCANDINAVICA, 2008
Well-posedness for hyperbolic higher order operators with finite degeneracy
Journal of Mathematics of Kyoto University, 2006
On the Cauchy Problem for Hyperbolic Operators with Nearly Constant Coefficient Principal Part
Funkcialaj Ekvacioj, 2008
Well--Posedness Of Stiff Hyperbolic Systems
Well-posedness of systems of 1-D hyperbolic partial differential equations
Journal of Evolution Equations, 2018
Hokkaido Mathematical Journal, 1994
Remarks on the well-posedness of the nonlinear Cauchy problem
Contemporary Mathematics, 2005
On necessary and sufficient conditions for strong hyperbolicity in systems with constraints
Classical and Quantum Gravity, 2020
The Cauchy problem for hyperbolic operators of strong type
Duke Mathematical Journal, 1994
The Block Structure Condition for Symmetric Hyperbolic Systems
Bulletin of the London Mathematical Society, 2000