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Communications in Partial Differential Equations Volume 38, 2013 - Issue 10
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Original Articles

Time-Dependent Loss of Derivatives for Hyperbolic Operators with Non Regular Coefficients

Ferruccio Colombini Dipartimento di Matematica, Università di Pisa, Pisa, Italy
,
Daniele Del Santo Dipartimento di Matematica e Geoscienze, Università di Trieste, Trieste, Italy
,
Francesco Fanelli BCAM – Basque Center for Applied Mathematics, Bilbao, SpainCorrespondence[email protected]
&
Guy Métivier Institut de Mathématiques de Bordeaux, UMR 5251, Université de Bordeaux 1, Talence, France
Pages 1791-1817 | Received 06 Oct 2012, Accepted 08 Mar 2013, Published online: 06 Sep 2013

Citations (9)

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Ferruccio Colombini, Daniele Del Santo, Francesco Fanelli & Guy Métivier. (2015) The Well-Posedness Issue in Sobolev Spaces for Hyperbolic Systems with Zygmund-Type Coefficients. Communications in Partial Differential Equations 40:11, pages 2082-2121.
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Articles from other publishers (8)

Claudia Garetto & Bolys Sabitbek. (2024) Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients. Mathematische Annalen.
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Ferruccio Colombini, Daniele Del Santo & Francesco Fanelli. 2021. Anomalies in Partial Differential Equations. Anomalies in Partial Differential Equations 127 148 .
Óscar Domínguez, Dorothee D. Haroske & Sergey Tikhonov. (2020) Embeddings and characterizations of Lipschitz spaces. Journal de Mathématiques Pures et Appliquées.
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Claudia Garetto, Christian Jäh & Michael Ruzhansky. (2018) Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness. Mathematische Annalen 372:3-4, pages 1597-1629.
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Francesco Fanelli. (2017) Some local questions for hyperbolic systems with non-regular time dependent coefficients. Journal of Hyperbolic Differential Equations 14:02, pages 301-322.
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Belhassen Dehman & Sylvain Ervedoza. (2017) Observability estimates for the wave equation with rough coefficients. Comptes Rendus. Mathématique 355:5, pages 499-514.
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Francesco Fanelli. 2017. Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics. Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics 75 102 .
Francesco Fanelli & Enrique Zuazua. (2015) Weak observability estimates for 1-D wave equations with rough coefficients. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 32:2, pages 245-277.
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