Title: Damped Klein-Gordon equation with variable diffusion coefficient.
Authors: Luo, Qinghua
Abstract: We consider a damped Klein-Gordon equation with a variable diffusion coefficient. This problem is challenging because of the equation's unbounded nonlinearity. First, we study the nonlinearity's continuity properties. Then the existence and the uniqueness of the solutions is established. The main result is the continuity of the solution map on the set of admissible parameters. Its application to the parameter identification problem is considered.
Subjects: HEAT equation; PARAMETER identification; ADMISSIBLE sets; KLEIN-Gordon equation; EQUATIONS; DIFFUSION coefficients; CONTINUITY
Publication: Communications on Pure & Applied Analysis, 2021, Vol 20, Issue 11, p3959
ISSN: 1534-0392
Publication type: Academic Journal
DOI: 10.3934/cpaa.2021139

Damped Klein-Gordon equation with variable diffusion coefficient.

Luo, Qinghua