About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients
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Publication:2504032
zbMath1103.35080MaRDI QIDQ2504032
Tamotu Kinoshita, Michael Reissig
Publication date: 22 September 2006
Published in: Advances in Differential Equations (Search for Journal in Brave)
Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)
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Strictly hyperbolic Cauchy problems on \(\mathbb{R}^n\) with unbounded and singular coefficients ⋮ On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays ⋮ Energy estimates at infinity for hyperbolic equations with oscillating coefficients ⋮ Optimal derivative loss for abstract wave equations ⋮ Finite vs infinite derivative loss for abstract wave equations with singular time-dependent propagation speed ⋮ Strictly Hyperbolic Cauchy Problems with Coefficients Low-Regular in Time and Space ⋮ Loss of regularity for \(p\)-evolution type models ⋮ Global in time solutions of evolution equations in scales of Banach function spaces in \(\mathbb R^n\) ⋮ The Log-effect for \(p\)-evolution type models ⋮ Levi condition for hyperbolic equations with oscillating coefficients ⋮ Global well-posedness of a class of strictly hyperbolic Cauchy problems with coefficients non-absolutely continuous in time ⋮ Well-posedness for hyperbolic equations whose coefficients lose regularity at one point
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