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2007 Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels
Davide Guidetti
Differential Integral Equations 20(9): 961-990 (2007).

Abstract

We prove the existence of solutions converging to a stationary state for abstract semilinear parabolic problems with a convolution kernel that is unknown (together with the solution). These solutions are suitable perturbations of stationary states. The main tools are maximal regularity results in an $L^1$ (time) setting. The abstract results are applied to a reaction-diffusion integrodifferential system.

Citation

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Davide Guidetti. "Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels." Differential Integral Equations 20 (9) 961 - 990, 2007.

Information

Published: 2007
First available in Project Euclid: 20 December 2012

zbMATH: 1212.35501
MathSciNet: MR2349375

Subjects:
Primary: 45K05
Secondary: 35K90 , 35R30 , 45M10

Rights: Copyright © 2007 Khayyam Publishing, Inc.

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Vol.20 • No. 9 • 2007
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