We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero-temperature phase diagram are observed when… (More)

In this article a general framework for studying analytic representations of a real Lie group G is introduced. Fundamental topological properties of the representations are analyzed. A notion of… (More)

In this paper we develop the foundations for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt, we define a… (More)

For every moderate growth representation (π,E) of a real Lie group G on a Fréchet space, we prove a factorization theorem of Dixmier–Malliavin type for the space of analytic vectors Eω. There exists… (More)

This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for transmission or contact problems in nonlinear elasticity. It concerns “pseudoplastic”,… (More)

For the heat equation on a bounded subdomain Ω of R, we investigate the optimal shape and location of the observation domain in observability inequalities. A new decomposition of L(R) into heat… (More)

We consider the spectral behavior and noncommutative geometry of commutators [P, f ], where P is an operator of order 0 with geometric origin and f a multiplication operator by a function. When f is… (More)

We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the Earth from the gravitational potential and the… (More)