118 citations · 277 across the 45 of their papers we have counts for
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math.KT2012★ 2 cited
C*-Algebra approach to the index theory of boundary value problems
Severino Melo, Elmar Schrohe, Thomas Schick
Boutet de Monvel's calculus provides a pseudodifferential framework which encompasses the classical differential boundary value problems. In an extension of the concept of Lopatins…
math.AP2012★ 1 cited
The Cahn-Hilliard Equation and the Allen-Cahn Equation on Manifolds with Conical Singularities
Nikolaos Roidos, Elmar Schrohe
We consider the Cahn-Hilliard equation on a manifold with conical singularities and show the existence of bounded imaginary powers for suitable closed extensions of the bilaplacian…
math.KT2012★ 8 cited
Families index for Boutet de Monvel operators
Severino Melo, Elmar Schrohe, Thomas Schick
We define the analytical and the topological indices for continuous families of operators in the C*-closure of the Boutet de Monvel algebra. Using techniques of C*-algebra K-theory…