Phragmén-Lindelöf alternative for the Laplace equation with dynamic boundary conditions
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hdl:2117/109213
Tipus de documentArticle
Data publicació2017-11-01
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Reconeixement 3.0 Espanya
Abstract
This paper investigates the spatial behavior of the solutions of the Laplace equation on a semi-infinite cylinder when dynamical nonlinear boundary conditions are imposed on its lateral side. We prove a Phragmén-Lindelöf
alternative for the solutions. To be precise, we see that the solutions
increase in an exponential way or they decay as a polynomial. To give a
complete description of the decay in this last case we also obtain an upper
bound for the amplitude term by means of the boundary conditions. In the
last section we sketch how to generalize the results to a system of two elliptic equations related with the heat conduction in mixtures.
CitacióLeseduarte, M. C., Quintanilla, R. Phragmén-Lindelöf alternative for the Laplace equation with dynamic boundary conditions. "Journal of applied analysis and computation", 1 Novembre 2017, vol. 7, núm. 4, p. 1323-1335.
ISSN2156-907X
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Leseduarte-Quintanilla.pdf | 300,7Kb | Visualitza/Obre |