Cauchy problems for hyperbolic systems in \(\mathbb{R}^n\) with irregular principal symbol in time and for \(x \rightarrow \infty \)

DOI10.1016/J.JDE.2010.11.020zbMath1211.35173OpenAlexW2089672195MaRDI QIDQ630577

Todor Gramchev, Daniel Gourdin, Marco Cappiello

Publication date: 17 March 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.11.020

zbMATH Keywords

weighted Sobolev spaceswell-posednessglobal solutionssuperlinear growthnon-Lipschitz coefficientsloss of regularity

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Global Cauchy problems on \(\mathbb{R}^n\) for weakly hyperbolic systems with coefficients admitting superlinear growth for \(| x| \rightarrow \infty\) ⋮ Weak solutions of the cohomological equation on \(\mathbb R^2\) for regular vector fields

Cites Work

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