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.
2016
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].
Guidetti, Davide
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/598514
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