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Issue ESAIM: Proc.
Volume 4, 1998
Control and partial differential equations
Page(s) 59 - 72
DOI http://dx.doi.org/10.1051/proc:1998020

ESAIM: Proc., 1998, Vol. 4, pp. 59-72
DOI: 10.1051/proc:1998020

Singularities of the minimum time function for semilinear parabolic systems

P. Albano and P. Cannarsa

Dipartimento di Matematica, Università di Roma "Tor Vergata" Via della Ricerca Scientifica, 00133 Roma, Italy Fax: 6-72594699


Abstract
The time optimal control problem for a semilinear parabolic systems is here studied. The singular points of the Minimum Time function are characterized as the initial point of multiple time-optimal trajectories. Moreover, an example is given to show how such singularities may develop.



© EDP Sciences, ESAIM 1998


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