Now showing items 1-4 of 4

• #### A note on complete hyperbolic operators with log-Zygmund coefficients ﻿

(2014-12-31)
The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients ...
• #### A well-posedness result for hyperbolic operators with Zygmund coefficients ﻿

(2013-12-31)
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic operator with Zygmund continuous second order coefficients both in time and in space. In particular, this estimate implies the ...
• #### Time-Dependent Loss of Derivatives for Hyperbolic Operators with Non Regular Coefficients ﻿

(2013-12-31)
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension N ≥ 1. We will suppose the coefficients to be log-Zygmund continuous in time and ...
• #### Weak observability estimates for 1-D wave equations with rough coefficients ﻿

(2014-12-31)
In this paper we prove observability estimates for 1-dimensional wave equations with non-Lipschitz coefficients. For coefficients in the Zygmund class we prove a "classical" estimate, which extends the well-known observability ...