Semilinear Venttsel’ Problems in Fractal Domains

DOI: 10.4236/am.2014.512175   PDF   HTML     2,922 Downloads   3,757 Views   Citations


We study a semilinear parabolic problem with a semilinear dynamical boundary condition in an irregular domain with fractal boundary. Local existence, uniqueness and regularity results for the mild solution, are established via a semigroup approach. A sufficient condition on the initial datum for global existence is given.

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Lancia, M. and Vernole, P. (2014) Semilinear Venttsel’ Problems in Fractal Domains. Applied Mathematics, 5, 1820-1833. doi: 10.4236/am.2014.512175.

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The authors declare no conflicts of interest.


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