FA ] 1 4 N ov 2 01 8 Well-posedness of systems of 1-D hyperbolic partial differential equations (original) (raw)

Well-posedness of systems of 1-D hyperbolic partial differential equations

Birgit Jacob

Journal of Evolution Equations, 2018

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$C_0$-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain

Hans Zwart

Journal of Evolution Equations

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Well-posedness of a class of hyperbolic partial differential equations on the semi-axis

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Serge Nicaise

ESAIM: Control, Optimisation and Calculus of Variations, 2021

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Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain

Javier Villegas

Esaim-control Optimisation and Calculus of Variations, 2009

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Dynamic transmission conditions for linear hyperbolic systems on networks

Serge Nicaise

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Linear Hyperbolic Systems on Networks

Marjeta Kramar Fijavz

arXiv (Cornell University), 2020

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Asymptotic behaviour of contraction non-autonomous semi-flows in a Banach space: Application to first-order hyperbolic PDEs

Ilyasse Aksikas

Automatica, 2016

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Hyperbolic Partial Differential Equations

Frank Lin

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On the L2L^2L2 well posedness of Hyperbolic Initial Boundary Value Problems

Guy Metivier

HAL (Le Centre pour la Communication Scientifique Directe), 2014

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On some abstract variable domain hyperbolic differential equations

Bernardi Marco Luigi, Fabio Luterotti

Annali di Matematica Pura ed Applicata, 1998

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Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators

Alessia Ascanelli

Operator Theory: Advances and Applications, 2006

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The Cauchy problem for weakly hyperbolic systems

Guy Metivier

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The semigroup generated by 2 � 2 conservation laws

Alberto Bressan

Archive for Rational Mechanics and Analysis, 1995

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Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations

Gui-Qiang G. Chen, Benoit Perthame

Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2003

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Gevrey's and trace regularity of a semigroup associated with beam equation and non-monotone boundary conditions

Boris Belinskiy, Irena Lasiecka

Journal of Mathematical Analysis and Applications, 2007

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A necessary condition ensuring the strong hyperbolicity of first-order systems

Fernando Abalos

Journal of Hyperbolic Differential Equations, 2019

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On necessary and sufficient conditions for strong hyperbolicity in systems with constraints

Fernando Abalos

Classical and Quantum Gravity, 2020

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Well-posedness of the Cauchy problem for nxn systems of conservation laws

Alberto Bressan

2000

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Hyperbolic Systems with Relaxation: Characterization of Stiff Well-Posedness and Asymptotic Expansions

Jens Lorenz

Journal of Mathematical Analysis and Applications, 1999

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A necessary condition for strong hyperbolicity of general first order systems

Fernando Abalos

2017

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Hyperbolicity of solution semigroups for linear neutral differential equations

nguyen Huy

Semigroup Forum, 2012

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Hyperbolic partial differential equations: a few opening comments

Tarynn M Witten

Computers & Mathematics with Applications, 1983

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On necessary and sufficient conditions for strong hyperbolicity

Fernando Abalos

arXiv (Cornell University), 2018

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Well--Posedness Of Stiff Hyperbolic Systems

Jens Lorenz

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Results of Semigroup of Linear Equation Generating a Wave Equation

Akinola Akinyele

Earthline Journal of Mathematical Sciences, 2022

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On the well-posedness of weakly hyperbolic equations with time-dependent coefficients

Claudia Garetto, Michael Ruzhansky

Journal of Differential Equations, 2012

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Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems

Guy Metivier

Analysis & PDE, 2015

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Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions

Camilo Lelis

Communications in Partial Differential Equations, 2005

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Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition

Roberta Bianchini

2020

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