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arXiv · 1412.3438

Nonlinear parabolic flows with dynamic flux on the boundary

Viorel Barbu·Angelo Favini·Gabriela Marinoschi
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Abstract

A nonlinear divergence parabolic equation with dynamic boundary conditions of Wentzell type is studied. The existence and uniqueness of a strong solution is obtained as the limit of a finite difference scheme, in the time dependent case and via a semigroup approach in the time-invariant case.

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Viorel Barbu, Angelo Favini, Gabriela Marinoschi. 2014-12-10. Nonlinear parabolic flows with dynamic flux on the boundary. https://doi.org/10.1016/j.jde.2014.12.003

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