Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients

Abstract : In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coe cients in any space dimension N>=1. We will suppose the coe cients to be log-Zygmund continuous in time and log-Lipschitz continuous in space. Paradi erential calculus with parameters will be the main tool to get energy estimates in Sobolev spaces and these estimates will present a time-dependent loss of derivatives.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [15 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-00733563
Contributor : Francesco Fanelli <>
Submitted on : Tuesday, September 18, 2012 - 11:01:53 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
Long-term archiving on: : Wednesday, December 19, 2012 - 3:46:58 AM

File

C-DS-F-M_t-loss.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00733563, version 1

Citation

Ferruccio Colombini, Daniele del Santo, Francesco Fanelli, Guy Metivier. Time dependent loss of derivatives for hyperbolic operators with non-regular coefficients. 2012. ⟨hal-00733563⟩

Share

Metrics

Record views

498

Files downloads

235