A well-posed Cauchy problem for an evolution equation with coefficients of low regularity

DOI10.1016/j.jde.2013.01.033zbMath1272.35136OpenAlexW1977554400MaRDI QIDQ1945871

Ferruccio Colombini, Massimo Cicognani

Publication date: 17 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.jde.2013.01.033

zbMATH Keywords

\(\sigma\)-evolution equations\(L^2\) well-posedness

Mathematics Subject Classification ID

Initial value problems for higher-order hyperbolic equations (35L30)

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Semilinear \(p\)-evolution equations in Sobolev spaces ⋮ Wave equation for operators with discrete spectrum and irregular propagation speed ⋮ Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field ⋮ Hyperbolic second order equations with non-regular time dependent coefficients

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