Inverse problems for first-order hyperbolic equations with time-dependent coefficients

Autor: Giuseppe Floridia, Hiroshi Takase
Rok vydání: 2021
Předmět:
Zdroj: Journal of Differential Equations. 305:45-71
ISSN: 0022-0396
DOI: 10.1016/j.jde.2021.10.007
Popis: We prove global Lipschitz stability for inverse source and coefficient problems for first-order linear hyperbolic equations, the coefficients of which depend on both space and time. We use a global Carleman estimate, and a crucial point, introduced in this paper, is the choice of the length of integral curves of a vector field generated by the principal part of the hyperbolic operator to construct a weight function for the Carleman estimate. These integral curves correspond to the characteristic curves in some cases.
Databáze: OpenAIRE