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ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- I. Chueshov, M. Eller, I. Lasiecka
- Mathematics
- 12 January 2002
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
- M. Eller, N. Valdivia
- Mathematics
- 1 November 2009
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…
Uniqueness and stability in the Cauchy problem for Maxwell and elasticity systems
- M. Eller, V. Isakov, G. Nakamura, D. Tataru
- Mathematics
- 2002
Stabilization of heteregeneous Maxwell's equations by linear or nonlinear boundary feedbacks
- M. Eller, J. Lagnese, S. Nicaise
- Mathematics
- 2002
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
- M. Eller
- Mathematics
- 1 March 2007
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…
A carleman inequality for the stationary anisotropic Maxwell system
- M. Eller, Masahiro Yamamoto
- Mathematics
- 1 December 2006
Exact Boundary Controllability of Electromagnetic Fields in a General Region
- M. Eller, J. E. Masters
- Mathematics
- 2002
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
- M. Eller
- Mathematics
- 15 September 2000
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…
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