Cauchy problem for nonlinear \(p\)-evolution equations

DOI10.1016/j.bulsci.2008.08.001zbMath1167.35332OpenAlexW2029575951MaRDI QIDQ1028272

Luisa Zanghirati, Rossella Agliardi

Publication date: 30 June 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.08.001

zbMATH Keywords

Sobolev spacesenergy estimates\(p\)-evolution equationsweakly hyperbolic and Schrödinger equations

Mathematics Subject Classification ID

Related Items (7)

Semilinear \(p\)-evolution equations in Sobolev spaces ⋮ Well-posedness of the Cauchy problem for \(p\)-evolution systems of pseudo-differential operators ⋮ Strichartz estimates for the vibrating plate equation ⋮ Well-posedness of the Cauchy problem for \(p\)-evolution equations ⋮ Well-posedness in Sobolev spaces for semi-linear 3-evolution equations ⋮ The Cauchy problem for the vibrating plate equation in modulation spaces ⋮ Weighted energy estimates for \(p\)-evolution equations in \textit{SG} classes

Cites Work

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• The Cauchy problem for certain partial differential equations of Schrödinger type. X: Symmetrization independent of time
• Cauchy problem for evolution equations of Schrödinger type
• The Cauchy problem for nonlinear hyperbolic equations with Levi condition
• Cauchy problem for \(p\)-evolution equations
• Opérateurs hyperboliques à caractéristiques de multiplicité constante
• The correctness of the Cauchy problem
• Problème de Cauchy oscillatoire pour un opérateur différentiel à caractéristiques multiples; lien avec l'hyperbolicité. (An oscillatory Cauchy problem for a differential operator with multiple characteristics connection with hyperbolicity)
• Problème de Cauchy pour certaines équations du type de Schrödinger
• The Cauchy problem for quasilinear SG-hyperbolic systems

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