Differential and Integral Equations
- Differential Integral Equations
- Volume 20, Number 9 (2007), 961-990.
Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels
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.
Differential Integral Equations Volume 20, Number 9 (2007), 961-990.
First available in Project Euclid: 20 December 2012
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Guidetti, Davide. Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels. Differential Integral Equations 20 (2007), no. 9, 961--990. https://projecteuclid.org/euclid.die/1356039306.