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http://hdl.handle.net/20.500.11765/15358
On a Class of Linear Cooperative Systems with Spatio-temporal Degenerate Potentials
Title: | On a Class of Linear Cooperative Systems with Spatio-temporal Degenerate Potentials |
Authors: | Álvarez Caudevilla, Pablo; Belinchón Martín, Fernando![]() |
Keywords: | Eigenvalue problems; Asymptotic analysis; Degenerate potentials; Spatio-temporal coefficients |
Issue Date: | 2021 |
Publisher: | Springer |
Citation: | Mediterranean Journal of Mathematics. 2021, 18(249), p. 1-27 |
Publisher version: | https://doi.org/10.1007/s00009-021-01913-3 |
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 Γ-convergence. Also, the exponential decay of the solutions to zero in the exterior of the subdomains where the potentials vanish is achieved. |
URI: | http://hdl.handle.net/20.500.11765/15358 |
ISSN: | 1660-5446 1660-5454 |
Appears in Collections: | Artículos científicos 2000-2004 |
Files in This Item:
File | Description | Size | Format | ||
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![]() | MJM_Alvarez_2021.pdf | 638,43 kB | Adobe PDF | ![]() View/Open |
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