Alejandro Vélez-Santiago University of California, Riverside Variable Exponent Dynamical Boundary Value Problems on "Bad" Domains Abstract We consider a class quasi-linear parabolic boundary value problems involving the $p(x)$-Laplace operator and dynamical boundary conditions on a large class of bounded non-smooth and fractal domains. We will discuss well-posedness and regularity results for this class of parabolic problems.
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