Loss of regularity for \(p\)-evolution type models

DOI10.1016/j.jmaa.2008.05.091zbMath1154.35065OpenAlexW2092071593MaRDI QIDQ936567

Michael Reissig, Fumihiko Hirosawa, Massimo Cicognani

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.091

zbMATH Keywords

well-posednessSchrödinger equationvariable coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65)

Related Items

Semilinear \(p\)-evolution equations in Sobolev spaces ⋮ An application of \(L^{1}\) estimates for oscillating integrals to parabolic like semi-linear structurally damped \(\sigma\)-evolution models ⋮ On Schrödinger type evolution equations with non-Lipschitz coefficients ⋮ Well-posedness of the Cauchy problem for \(p\)-evolution equations ⋮ Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients ⋮ Counter-examples of regularity behavior for \(\sigma \)-evolution equations ⋮ \(\nu \)-loss of derivatives for an evolution type model ⋮ Time-dependent wave equations on graded groups ⋮ Weighted energy estimates for \(p\)-evolution equations in \textit{SG} classes ⋮ H ∞ Well-Posedness for Degenerate p-Evolution Models of Higher Order with Time-Dependent Coefficients

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