Reconstruction of a convolution kernel in a parabolic problem with a memory term in the boundary conditions

Authors

  • Davide Guidetti University of Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/4154

Keywords:

integrodifferential equations, automatic control problems, inverse problems

Abstract

We consider the problem of the reconstruction of the convolution kernel, together with the solution, in a semilinear integrodiential parabolic problem in the case that in the boundary conditions, there appear quite general memory operators.

References

C. Cavaterra, D. Guidetti, Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term, to appear in Ann. Mat. Pura e Appl..

P. Colli, M. Grasselli, J. Sprekels, Automatic Control via Thermostats of a Hyperbolic Stefan Problem with Memory, Appl. Math. Optim. 39 (1999), 229-255.

M. Krasnosel'skii, A. Pokrovskii, Systems with Hysteresis, Springer-Verlag (1980).

J. L. Lions, E. Magenes, Nonhomogeneous boundary value problems and applications II, Springer-Verlag (1972).

A. Visintin, Differential Models of Hysteresis, Applied Mathematical Sciences vol. 111, Springer-Verlag (1994).

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Published

2013-12-30

How to Cite

Guidetti, D. (2013). Reconstruction of a convolution kernel in a parabolic problem with a memory term in the boundary conditions. Bruno Pini Mathematical Analysis Seminar, 4(1), 47–55. https://doi.org/10.6092/issn.2240-2829/4154

Issue

Seminars 2013

Section

Articles

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