13 citations · 30 across the 19 of their papers we have counts for
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Local elliptic regularity for the Dirichlet fractional Laplacian
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We analyze the local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set $Ω\subset\mat…
Controllability of evolution equations with memory
F. W. Chaves-Silva, X. Zhang, E. Zuazua
This article is devoted to studying the null controllability of evolution equations with memory terms. The problem is challenging not only because the state equation contains memor…
Local regularity for fractional heat equations
Umberto Biccari, Mahamadi Warma, Enrique Zuazua
We prove the maximal local regularity of weak solutions to the parabolic problem associated with the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbit…
Optimal shape design for 2D heat equations in large time
Emmanuel Trelat, Can Zhang, Enrique Zuazua
In this paper, we investigate the asymptotic behavior of optimal designs for the shape optimization of 2D heat equations in long time horizons. The control is the shape of the doma…