Results 11 to 20 of about 149 (26)

A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary [PDF]

arXiv, 2005
For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asymptotic multiplicativity of \hbar-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.
arxiv  

The interior transmission problem and bounds on transmission eigenvalues [PDF]

arXiv, 2010
We study the interior transmission eigenvalue problem for sign-definite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many complex transmission eigenvalues are confined to a parabolic neighborhood of the positive real axis.
arxiv  

Function spaces and extension results for nonlocal Dirichlet problems [PDF]

arXiv, 2016
We study function spaces and extension results in relation with Dirichlet problems involving integrodifferential operators. For such problems, data are prescribed on the complement of a given domain in the Euclidean space. We introduce a function space that serves as a trace space for nonlocal Dirichlet problems and study related extension results.
arxiv  

Nonsmooth Pseudodifferential Boundary Value Problems on Manifolds [PDF]

arXiv, 2017
We study pseudodifferential boundary value problems in the context of the Boutet de Monvel calculus or Green operators, with nonsmooth coefficients on smooth compact manifolds with boundary. In order to have a definition that is independent of the choice of (smooth) coordinates, we prove that nonsmooth Green operators are invariant under smooth ...
arxiv  

Design of a hesitant movement gesture for mobile robots. [PDF]

PLoS One, 2021
Reinhardt J, Bengler K.
europepmc   +1 more source

Pseudodifferential calculus on manifolds with corners and groupoids [PDF]

arXiv, 1997
We build a longitudinally smooth differentiable groupoid associated to any manifold with corners. The pseudodifferential calculus on this groupoid coincides with the pseudodifferential calculus of Melrose (also called b-calculus). We also define an algebra of rapidly decreasing functions on this groupoid; it contains the kernels of the smoothing ...
arxiv  

Green Operators in the Edge Calculus [PDF]

arXiv, 2006
The task to construct parametrices of elliptic differential operators on a manifold with edges requires a calculus of operators with a two-component principal symbolic hierarchy, consisting of (edge-degenerate) interior and (operator-valued) edge symbols.
arxiv  

Boundary regularity for non-local operators with symmetric kernels and vanishing horizon [PDF]

arXiv
We prove optimal H\"older boundary regularity for a non-local operator with a singular, symmetric kernel that depends on the distance to the boundary of the underlying domain. Additionally, we prove higher boundary regularity of solutions.
arxiv  

Integral Operators Basic in Random Fields Estimation Theory [PDF]

arXiv, 2004
The paper deals with the basic integral equation of random field estimation theory by the criterion of minimum of variance of the error estimate. This integral equation is of the first kind. The corresponding integra$ operator over a bounded domain $\Omega $ in ${\Bbb R}^{n}$ is weakly singular.
arxiv  

Non-commutative residue of projections in Boutet de Monvel's calculus [PDF]

arXiv, 2007
Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the calculus.
arxiv