We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic boundary conditions.
Guidetti, D. (2016). Classical solutions to quasilinear parabolic problems with dynamic boundary conditions. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 9, 717-736 [10.3934/dcdss.2016024].
Classical solutions to quasilinear parabolic problems with dynamic boundary conditions
GUIDETTI, DAVIDE
2016
Abstract
We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic boundary conditions.File in questo prodotto:
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