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math.AP2011
From forms to semigroups
Wolfgang Arendt, A. F. M. ter Elst
Form methods give a very efficient tool to solve evolutionary problems on Hilbert space. They were developed by T. Kato [Kat] and, in slightly different language by J.L. Lions. In…
math.AP2011
Diffusion determines the compact manifold
W. Arendt, A. F. M. ter Elst
We provide a short proof for the theorem that two compact Riemannian manifolds are isomorphic if and only there exists an order isomorphism which intertwines between the heat semig…
math.AP2010★ 2 cited
Semigroups Generated by Elliptic Operators in Non-Divergence Form on
Wolfgang Arendt, Reiner Schätzle
Given a bounded domain in the Euclidean space satisfying the uniform outer cone condition, we show that a uniformly elliptic operator of second order with continuous second order c…