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- W3211030341 abstract "Abstract This paper analyses a class of parabolic linear cooperative systems in a cylindrical domain with degenerate spatio-temporal potentials. In other words, potentials vanish in some non-empty connected subdomains which are disjoint and increase in size temporally. Then, the vanishing subdomains for the potentials are not cylindrical. Following a similar idea to the semiclassical analysis behaviour, but done here for parabolic problems, under these geometrical assumptions, the asymptotic behaviour of the system is ascertained when a parameter, in front of these potentials, goes to infinity. In particular, the strong convergence of the solutions of the system is obtained using energy methods and the theory associated with the $$Gamma $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>Γ</mml:mi> </mml:math> -convergence. Also, the exponential decay of the solutions to zero in the exterior of the subdomains where the potentials vanish is achieved." @default.
- W3211030341 created "2021-11-08" @default.
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- W3211030341 date "2021-10-23" @default.
- W3211030341 modified "2023-10-14" @default.
- W3211030341 title "On a Class of Linear Cooperative Systems with Spatio-temporal Degenerate Potentials" @default.
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- W3211030341 doi "https://doi.org/10.1007/s00009-021-01913-3" @default.
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