The Cauchy problem for strictly hyperbolic operators with non-absolutely continuous coefficients.

DOI10.21099/tkbjm/1496164556zbMath1041.35049OpenAlexW1740638000MaRDI QIDQ1411732

Massimo Cicognani

Publication date: 2003

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496164556

zbMATH Keywords

loss of derivativesnon-Lipschitz coefficientssharp Gårding's inequalitywell-posedness in Gevrey and \(C^\infty\)

Mathematics Subject Classification ID

Related Items (16)

Operators of \(p\)-evolution with nonregular coefficients in the time variable ⋮ Strictly hyperbolic Cauchy problems on \(\mathbb{R}^n\) with unbounded and singular coefficients ⋮ Energy estimates at infinity for hyperbolic equations with oscillating coefficients ⋮ On weakly hyperbolic operators with non-regular coefficients and finite order degeneration. ⋮ Global well-posedness of a class of singular hyperbolic Cauchy problems ⋮ Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients. ⋮ On the optimal regularity of coefficients in hyperbolic Cauchy problems. ⋮ Well posedness under Levi conditions for a degenerate second order Cauchy problem ⋮ A degenerate hyperbolic equation under Levi conditions ⋮ The Cauchy problem for nonstrictly second order hyperbolic equations with nonregular coefficients ⋮ Propagation of singularities in the Cauchy problem for a class of degenerate hyperbolic operators ⋮ Levi condition for hyperbolic equations with oscillating coefficients ⋮ Construction of Parametrix to Strictly Hyperbolic Cauchy Problems with Fast Oscillations in NonLipschitz Coefficients† ⋮ Global well-posedness of a class of strictly hyperbolic Cauchy problems with coefficients non-absolutely continuous in time ⋮ Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time ⋮ Energy estimate and fundamental solution for degenerate hyperbolic Cauchy problems

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