H ∞ Well-Posedness for Degenerate p-Evolution Models of Higher Order with Time-Dependent Coefficients

DOI10.1007/978-3-319-00125-8_6zbMath1273.35091OpenAlexW153571167MaRDI QIDQ2845703

Karen Yagdjian, Torsten Herrmann, Michael Reissig

Publication date: 3 September 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-00125-8_6

zbMATH Keywords

loss of derivativesSchrödinger type operatorscharacteristics of variable multiplicityoscillations in coefficients

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Initial value problems for linear higher-order PDEs (35G10) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Small data wave maps in cyclic spacetime ⋮ \(H^\infty\) well-posedness for a 2-evolution Cauchy problem with complex coefficients

Cites Work

• Well-posedness of the Cauchy problem for \(p\)-evolution equations
• The global Cauchy problem for a vibrating beam equation
• Loss of regularity for \(p\)-evolution type models
• Some remarks on the Cauchy problem for Schrödinger type equations
• \(H^\infty\) well-posedness for a 2-evolution Cauchy problem with complex coefficients
• The Cauchy problem for 𝑝-evolution equations
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