Strichartz estimates for the vibrating plate equation

DOI10.1007/s00028-011-0113-3zbMath1244.35144arXiv1005.1484OpenAlexW2092336826MaRDI QIDQ409215

Elena Cordero, Davide Zucco

Publication date: 12 April 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1484

zbMATH Keywords

well-posednessground stateStrichartz estimateshomogeneous Sobolev spacesKato-Ponce's inequalitytime-dependent potentialsvibrating plate equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

The beam equation with nonlinear memory ⋮ Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit ⋮ Local well-posedness for the Davey-Stewartson equation in a generalized Feichtinger algebra ⋮ \(L^p-L^q\) estimates for a parameter-dependent multiplier with oscillatory and diffusive components ⋮ The Kato-Ponce Inequality

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