A CARLEMAN ESTIMATE AND AN ENERGY METHOD FOR A FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEM

Giuseppe Floridia, Hiroshi Takase, Masahiro Yamamoto

Research output: Contribution to journalArticlepeer-review

Abstract

For a symmetric hyperbolic system of the first order, we prove a Carleman estimate under some positivity condition concerning the coefficient matrices. Next, applying the Carleman estimate, we prove an observability L2-estimate for initial values by boundary data.

Original languageEnglish
Pages (from-to)1163-1178
Number of pages16
JournalInverse Problems and Imaging
Volume16
Issue number5
DOIs
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Analysis
  • Modelling and Simulation
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

Fingerprint

Dive into the research topics of 'A CARLEMAN ESTIMATE AND AN ENERGY METHOD FOR A FIRST-ORDER SYMMETRIC HYPERBOLIC SYSTEM'. Together they form a unique fingerprint.

Cite this