3 citations · 14 across the 22 of their papers we have counts for
25 papers
A Shubin pseudodifferential calculus on asymptotically conic manifolds
Thomas Krainer
We present a global pseudodifferential calculus on asymptotically conic manifolds that generalizes (anisotropic versions of) Shubin's classical global pseudodifferential calculus o…
Cobordism invariance of the index for realizations of elliptic operators revisited
Thomas Krainer
We revisit an argument due to Lesch (Topology 32 (1993), no. 3, 611-623) for proving the cobordism invariance of the index of Dirac operators on even-dimensional closed manifolds a…
Extensions of symmetric operators that are invariant under scaling and applications to indicial operators
Thomas Krainer
Indicial operators are model operators associated to an elliptic differential operator near a corner singularity on a stratified manifold. These model operators are defined on gene…
An explicit third-order one-step method for autonomous scalar initial value problems of first order based on adaptive quadratic Taylor approximation
Thomas Krainer, Chenzhang Zhou
We present an explicit 1-step numerical method of third order that is error-free on autonomous scalar Riccati equations such as the logistic equation. The method replaces the diffe…
Elliptic complexes of first-order cone operators: ideal boundary conditions
Thomas Krainer, Gerardo A. Mendoza
The purpose of this paper is to provide a detailed description of the spaces that can be specified as domains for the operators of a first order elliptic complex on a compact…
The Friedrichs extension for elliptic wedge operators of second order
Thomas Krainer, Gerardo A. Mendoza
The paper provides an explicit description of the structure of the domain of the Friedrichs extension of a second order semibounded elliptic wedge operator, initially defined on sm…