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Let two second order evolution equations be coupled via the zero order terms, and suppose that the first one is stabilized by a distributed feedback. What will then be the effect of such a partial stabilization on the decay of solutions at infinity? Is the behaviour of the first component...
This paper deals with precompactness of trajectories of solutions of general nonlinear evolution problems in Banach spaces in the compact resolvent case. We carry out new criterions which extend or supplement for instance fundamental results of Pazy, Dafermos-Slemrod or Webb. These criterions...
In this paper we show that the solutions of the phase change problem with the Cattaneo-Fourier heat flux law and phase relaxation, converge to the solution of the Stefan problem as the two relaxation parameters go independently to zero.
This paper deals with a general class of evolution problems for semilinear equations coupled with nonlinear constraints. Those constraints may contain compositions of nonlinear operators and unbounded linear operators, and hence the associated operators are not necessarily formulated in the form...
We consider the problem of determining the individual survival and reproduction functions (or birth and death rates) from data on total population size and cumulative number of births in a linear age-structured population model. We give conditions that guarantee that this inverse problem has a...
A class of nonlinear reaction-diffusion systems is considered. We formulate some automatic control problems based on feedback devices located on the boundary. Two different types of devices are analyzed: relay switch and Preisach hysteresis operator. The resulting models lead to a nonlinear...
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