Umberto Biccari, Mahamadi Warma, Enrique Zuazua
Published 2017-04-25Version 1
We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with Dirichlet boundary condition on an arbitrary bounded open set $\Omega\subset\mathbb{R}^N$. The key tool consists in combining classical abstract regularity results for parabolic equations with some new local regularity results for the associated elliptic equation.
Generic properties of the spectrum of the Stokes system with Dirichlet boundary condition in R^3
On the Structure of the Solution Set of a Sign Changing Perturbation of the p-Laplacian under Dirichlet Boundary Condition
The Weyl-type asymptotic formula for biharmonic Steklov eigenvalues with Dirichlet boundary condition on Riemannian manifolds
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