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Project A3: Analysis on manifolds, metric spaces and graphs



Summary:

The project A3 is concerned with properties of certain differential and non-local operators on manifolds, metric measure spaces, and graphs. The emphasis is made on the relationship between the analytic properties of the operators in question and the geometric properties of the underlying space. Examples of such properties include heat kernel estimates, existence of solutions of linear and non-linear PDEs in certain function classes, estimates of the eigenvalues of Hodge Laplacians, Schrödinger operators, etc.


Recent Preprints:

19031 Simon Noah Nowak PDF

$H^{s,p}$ regularity theory for a class of nonlocal elliptic equations

Project: A3

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$H^{s,p}$ regularity theory for a class of nonlocal elliptic equations


Authors: Simon Noah Nowak Projects: A3
Submission Date: 14.06.2019 Submitter: Alexander Grigor'yan
Download: PDF Link: 19031

19018 Wolfhard Hansen PDF

Equicontinuity of harmonic functions and compactness of potential kernels

Project: A3

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Equicontinuity of harmonic functions and compactness of potential kernels


Authors: Wolfhard Hansen Projects: A3
Submission Date: 14.05.2019 Submitter: Alexander Grigor'yan
Download: PDF Link: 19018

18046 Wolfhard Hansen, Ivan Netuka PDF

Nearly hyperharmonic functions are infima of excessive functions

Project: A3

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Nearly hyperharmonic functions are infima of excessive functions


Authors: Wolfhard Hansen, Ivan Netuka Projects: A3
Submission Date: 27.09.2018 Submitter: Alexander Grigor'yan
Download: PDF Link: 18046

18034 Alexander Grigor'yan, Meng Yang PDF

Determination of the Walk Dimension of the Sierpiński Gasket Without Using Diffusion

Project: A3

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Determination of the Walk Dimension of the Sierpiński Gasket Without Using Diffusion


Authors: Alexander Grigor'yan, Meng Yang Projects: A3
Submission Date: 24.07.2018 Submitter: Moritz Kaßmann
Download: PDF Link: 18034

18033 Alexander Grigor'yan, Meng Yang PDF

Local and Non-Local Dirichlet Forms on the Sierpiński Carpet

Project: A3

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Local and Non-Local Dirichlet Forms on the Sierpiński Carpet


Authors: Alexander Grigor'yan, Meng Yang Projects: A3
Submission Date: 24.07.2018 Submitter: Moritz Kaßmann
Download: PDF Link: 18033

18028 Meng Yang PDF

Construction of Local Regular Dirichlet Form on the Sierpiński Gasket using Γ-Convergence

Project: A3

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Construction of Local Regular Dirichlet Form on the Sierpiński Gasket using Γ-Convergence


Authors: Meng Yang Projects: A3
Submission Date: 23.07.2018 Submitter: Alexander Grigor'yan
Download: PDF Link: 18028

17029 Wolfhard Hansen, Ivan Netuka PDF

Semipolar sets and intrinsic Hausdorff measure

Project: A3

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Semipolar sets and intrinsic Hausdorff measure


Authors: Wolfhard Hansen, Ivan Netuka Projects: A3
Submission Date: 27.11.2017 Submitter: Alexander Grigor'yan
Download: PDF Link: 17029



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