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May/June 2010 An identification problem with evolution on the boundary of hyperbolic type
Alfredo Lorenzi, Francesca Messina
Adv. Differential Equations 15(5/6): 473-502 (May/June 2010).

Abstract

We consider an equation of the type $A(u+k*u)=f$, where $A$ is a linear second-order elliptic operator, $k$ is a scalar function depending on time only and $k*u$ denotes the standard time convolution of functions defined in $(-\infty,T)$ with their supports in $[0,T]$. The previous equation is endowed with second-order dynamical boundary conditions. Assuming that the kernel $k$ is unknown and a supplementary condition is given, $k$ can be recovered and global existence, uniqueness and continuous dependence results can be shown.

Citation

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Alfredo Lorenzi. Francesca Messina. "An identification problem with evolution on the boundary of hyperbolic type." Adv. Differential Equations 15 (5/6) 473 - 502, May/June 2010.

Information

Published: May/June 2010
First available in Project Euclid: 18 December 2012

zbMATH: 1196.45016
MathSciNet: MR2643232

Subjects:
Primary: 35L20, 45K05, 45Q05

Rights: Copyright © 2010 Khayyam Publishing, Inc.

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Vol.15 • No. 5/6 • May/June 2010
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