In this paper, we prove an observability inequality for a degenerate transport equation with time-dependent coefficients. First we introduce a local in time Carleman estimate for the degenerate equation, then we apply it to obtain a global in time observability inequality by using also an energy estimate.
Observability inequalities for degenerate transport equations / Floridia, G.; Takase, H.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 21:4(2021), pp. 5037-5053. [10.1007/s00028-021-00740-z]
Observability inequalities for degenerate transport equations
Floridia G.;
2021-01-01
Abstract
In this paper, we prove an observability inequality for a degenerate transport equation with time-dependent coefficients. First we introduce a local in time Carleman estimate for the degenerate equation, then we apply it to obtain a global in time observability inequality by using also an energy estimate.File in questo prodotto:
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