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- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT121 papers
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- University of PisaIT58 papers
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Showing 2007 · math.APShow all
3 papers · 2 filters
math.AP2007★ 71 cited
Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates
Sergio Vessella
In this paper we will review the main results concerning the issue of stability for the determination unknown boundary portion of a thermic conducting body from Cauchy data for par…
math.AP2007★ 2 cited
A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides
Giulio Ciraolo, Rolando Magnanini
We study the uniqueness of solutions of Helmholtz equation for a problem that concerns wave propagation in waveguides. The classical radiation condition does not apply to our probl…
math.AP2007★ 9 cited
Analytical results for 2-D non-rectilinear waveguides based on the Green's function
Giulio Ciraolo, Rolando Magnanini
We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem…