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ABSTRACT Long time behavior of a semilinear wave equation with nonlinear boundary dissipation and critical exponent is considered. It is shown that weak solutions generated by the wave dynamics
Acoustic source identification using multiple frequency information
We consider the inverse problem of identifying the location and shape of a finitely supported acoustic source function, separable with respect to space and frequency, from measurements of the
Stabilization of heteregeneous Maxwell's equations by linear or nonlinear boundary feedbacks
We examine the question of stabilization of the (nonstationary) hetere- geneous Maxwell's equations in a bounded region with a Lipschitz bound- ary by means of linear or nonlinear Silver-Muller
Identification of cracks in three-dimensional bodies by many boundary measurements
  • M. Eller
  • Mathematics, Physics
  • 1 August 1996
Let be a three-dimensional body with an interior two-dimensional crack . It will be shown that the location and size of the crack is uniquely determined by measurements on the boundary of . Moreover,
Continuous Observability for the Anisotropic Maxwell System
A boundary observability inequality for the homogeneous Maxwell system with variable, anisotropic coefficients is proved. The result implies uniqueness for an ill-posed Cauchy problem for Maxwell's
Exact Boundary Controllability of Electromagnetic Fields in a General Region
Abstract. We prove exact controllability for Maxwell's system with variable coefficients in a bounded domain by a current flux in the boundary. The proof relies on a duality argument which reduces
Carleman Estimates with a Second Large Parameter
Abstract Carleman estimates are an indispensable tool for proving uniqueness of continuation for solutions to partial differential equations with non-analytic coefficients. We prove a new Carleman
The Cauchy–Dirichlet problem for the Moore–Gibson–Thompson equation
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the theory of hyperbolic