Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, III: singular coefficients
Garetto C. Sabitbek B.
September 2024Springer Science and Business Media Deutschland GmbH
Mathematische Annalen
2024#390Issue 11583 - 1613 pp.
In this paper we continue the analysis of non-diagonalisable hyperbolic systems initiated in [25, 26]. Here we assume that the system has discontinuous coefficients or more in general distributional coefficients. Well-posedness is proven in the very weak sense for systems with singularities with respect to the space variable or the time variable. Consistency with the classical theory is proven in the case of smooth coefficients.
35L81 , Primary 35L40 , Secondary 35D99
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School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
School of Mathematical Sciences
Institute of Mathematics and Mathematical Modeling
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