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arxiv: 1504.06112 · v1 · pith:ADGYQMWHnew · submitted 2015-04-23 · 🧮 math.AP

Classical solutions to quasilinear parabolic problems with dynamic boundary conditions

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keywords boundaryconditionsdynamicclassicalparabolicquasilinearapplyexistence
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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.

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