Well-posedness of the Cauchy problem for \(p\)-evolution systems of pseudo-differential operators

DOI10.1007/s11868-013-0068-yzbMath1302.35494OpenAlexW2011240028MaRDI QIDQ353029

Alessia Ascanelli, Chiara Boiti

Publication date: 11 July 2013

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-013-0068-y

zbMATH Keywords

pseudo-differential operators\(H^\infty\) well-posedness\(p\)-evolution equations

Mathematics Subject Classification ID

Initial value problems for PDEs with pseudodifferential operators (35S10) Initial value problems for systems of linear first-order PDEs (35F40)

Related Items (4)

Semilinear \(p\)-evolution equations in Sobolev spaces ⋮ Well-posedness in Sobolev spaces for semi-linear 3-evolution equations ⋮ Weighted energy estimates for \(p\)-evolution equations in \textit{SG} classes ⋮ Schrödinger-type equations in Gelfand-Shilov spaces

Cites Work

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• Sufficient condition on H_∞well poeesne for schrodinger type equations
• On positivity of pseudo-differential operators
• The Cauchy problem for 𝑝-evolution equations
• Schrödinger equations of higher order

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