On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays

DOI10.1016/j.jde.2016.08.019zbMath1356.35124OpenAlexW2508179679MaRDI QIDQ324559

Tamotu Kinoshita

Publication date: 17 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2016.08.019

zbMATH Keywords

weight functionsdecaying coefficientsenergy type estimationsweighted \(L^2\) space

Mathematics Subject Classification ID

Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Weakly hyperbolic equations with non-analytic coefficients and lower order terms
• Energy estimates for strictly hyperbolic equations with low regularity in coefficients.
• Gevrey well-posedness for a class of weakly hyperbolic equations
• On second order weakly hyperbolic equations with oscillating coefficients.
• About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients
• Weighted Sobolev L2 estimates for a class of Fourier integral operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays