Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Krainer, Thomas"'
Autor:
Krainer, Thomas
We present a global pseudodifferential calculus on asymptotically conic manifolds that generalizes (anisotropic versions of) Shubin's classical global pseudodifferential calculus on Euclidean space to this class of noncompact manifolds. Fully ellipti
Externí odkaz:
http://arxiv.org/abs/2408.08169
Autor:
Krainer, Thomas
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 and combine this with recent work by the author (New York J. Math. 28 (
Externí odkaz:
http://arxiv.org/abs/2301.00100
Autor:
Krainer, Thomas
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 generalized tangent cone configurations and exhibit a natural scaling inva
Externí odkaz:
http://arxiv.org/abs/2107.01239
Autor:
Krainer, Thomas, Zhou, Chenzhang
Publikováno v:
Involve 13 (2020) 231-255
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 differential equation by its quadratic Taylor polynomial in each step and u
Externí odkaz:
http://arxiv.org/abs/1805.04782
Autor:
Krainer, Thomas, Mendoza, Gerardo A.
The purpose of this paper is to provide a detailed description of the spaces that can be specified as $L^2$ domains for the operators of a first order elliptic complex on a compact manifold with conical singularities. This entails an analysis of the
Externí odkaz:
http://arxiv.org/abs/1611.06526
Autor:
Krainer, Thomas, Mendoza, Gerardo A.
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 smooth functions or sections with compact support away from the boundary
Externí odkaz:
http://arxiv.org/abs/1509.01842
Autor:
Denk, Robert, Krainer, Thomas
It is shown that an elliptic scattering operator A on a compact manifold with boundary with operator valued coefficients in the morphisms of a bundle of Banach spaces of class (HT ) and Pisier’s property (α) has maximal regularity (up to a spectra
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/3014/
We present an overview of some of our recent results on the existence of rays of minimal growth for elliptic cone operators and two new results concerning the necessity of certain conditions for the existence of such rays.
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/3006/
Autor:
Krainer, Thomas
We investigate general Shapiro-Lopatinsky elliptic boundary value problems on manifolds with polycylindrical ends. This is accomplished by compactifying such a manifold to a manifold with corners of in general higher codimension, and we then deal wit
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/2991/
Autor:
Krainer, Thomas
We prove the existence of sectors of minimal growth for realizations of boundary value problems on conic manifolds under natural ellipticity conditions. Special attention is devoted to the clarification of the analytic structure of the resolvent.
Externí odkaz:
http://opus.kobv.de/ubp/volltexte/2009/2977/