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Preprints 2024

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24128 PDF

Strong solutions to degenerate SDEs and uniqueness for degenerate Fokker-Planck equations

Project: A5

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Strong solutions to degenerate SDEs and uniqueness for degenerate Fokker-Planck equations


Authors: Projects: A5
Submission Date: 07.04.2025 Submitter: Michael Röckner
Download: PDF Link: 24128

24127 Zimo Hao, Michael Röckner, Xicheng ZhangPDF

Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations

Project: B1

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Distribution-flow dependent SDEs driven by (fractional) Brownian motion and Navier-Stokes equations


Authors: Zimo Hao, Michael Röckner, Xicheng Zhang Projects: B1
Submission Date: 30.12.2024 Submitter: Martina Hofmanová
Download: PDF Link: 24127

24126 Gernot Akemann, Maurice Duits, Leslie Diëgo MolagPDF

Fluctuations in various regimes of non-hermiticity and a holographic principle

Project: C6

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Fluctuations in various regimes of non-hermiticity and a holographic principle


Authors: Gernot Akemann, Maurice Duits, Leslie Diëgo Molag Projects: C6
Submission Date: 03.01.2025 Submitter: Friedrich Götze
Download: PDF Link: 24126

24125 Gabriele Grillo, Giulia Meglioli, Fabio PunzoPDF

Blow-up and global existence for semilinear parabolic equations on infinite graphs

Project: A8

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Blow-up and global existence for semilinear parabolic equations on infinite graphs


Authors: Gabriele Grillo, Giulia Meglioli, Fabio Punzo Projects: A8
Submission Date: 05.01.2025 Submitter: Alexander Grigor'yan
Download: PDF Link: 24125

24124 Lars Diening, Johannes Storn, Tabea TscherpelPDF

Exact integration for singular Zienkiewicz and Guzman-Neilan finite elements with implementation

Project: B7

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Exact integration for singular Zienkiewicz and Guzman-Neilan finite elements with implementation


Authors: Lars Diening, Johannes Storn, Tabea Tscherpel Projects: B7
Submission Date: 04.01.2025 Submitter: Martina Hofmanová
Download: PDF Link: 24124

24123 Matthias Erbar, Giulia MeglioliPDF

Gradient flow for a class of diffusion equations with dirichlet boundary data

Project: A8

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Gradient flow for a class of diffusion equations with dirichlet boundary data


Authors: Matthias Erbar, Giulia Meglioli Projects: A8
Submission Date: 07.01.2025 Submitter: Michael Röckner
Download: PDF Link: 24123

24122 Giulia MeglioliPDF

On the uniqueness for the heat equation with density on infinite graphs

Project: A8

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On the uniqueness for the heat equation with density on infinite graphs


Authors: Giulia Meglioli Projects: A8
Submission Date: 05.01.2025 Submitter: Alexander Grigor'yan
Download: PDF Link: 24122

24121 L’ubomír Baňas, Jean Daniel MukamPDF

Numerical approximation of the stochastic Cahn-Hilliard equation with space-time white noise near the sharp interface limit

Project: B3

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Numerical approximation of the stochastic Cahn-Hilliard equation with space-time white noise near the sharp interface limit


Authors: L’ubomír Baňas, Jean Daniel Mukam Projects: B3
Submission Date: 30.01.2025 Submitter: Herbert Dawid
Download: PDF Link: 24121

24120 Jean Daniel Mukam, Antoine TambuePDF

Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise

Project: B3

Published: Computational Methods in Applied Mathematics 24, no. 2 (2024), 467–493

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Weak Convergence of the Rosenbrock Semi-implicit Method for Semilinear Parabolic SPDEs Driven by Additive Noise


Authors: Jean Daniel Mukam, Antoine Tambue Projects: B3
Submission Date: 04.02.2025 Submitter: L’ubomír Baňas
Download: PDF Link: 24120
Published: Computational Methods in Applied Mathematics 24, no. 2 (2024), 467–493

24119 Linus Behn, Lars Diening, Jihoon Ok, Julian RolfesPDF

Nonlocal equations with degenerate weights

Project: A7

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Nonlocal equations with degenerate weights


Authors: Linus Behn, Lars Diening, Jihoon Ok, Julian Rolfes Projects: A7
Submission Date: 07.03.2025 Submitter: Martina Hofmanová
Download: PDF Link: 24119

24118 Lucian Beznea, Iulian Cimpean, Michael RöcknerPDF

Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups

Project: A5

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Construction of Hunt processes by the Lyapunov method and applications to generalized Mehler semigroups


Authors: Lucian Beznea, Iulian Cimpean, Michael Röckner Projects: A5
Submission Date: 11.03.2025 Submitter: Moritz Kaßmann
Download: PDF Link: 24118

24117 Chongyang Ren, Xicheng ZhangPDF

Heat kernel estimates for kinetic SDEs with drifts being unbounded and in Kato's class

Project: A5

Published: Bernoulli 31, no. 2 (2025), 1402–1427

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Heat kernel estimates for kinetic SDEs with drifts being unbounded and in Kato's class


Authors: Chongyang Ren, Xicheng Zhang Projects: A5
Submission Date: 14.03.2025 Submitter: Michael Röckner
Download: PDF Link: 24117
Published: Bernoulli 31, no. 2 (2025), 1402–1427

24116 Peng Chen, Lihu Xu, Xiaolong Zhang, Xicheng ZhangPDF

$W_d$-convergence rate of EM schemes for invariant measures of supercritical stable SDEs

Project: B1

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$W_d$-convergence rate of EM schemes for invariant measures of supercritical stable SDEs


Authors: Peng Chen, Lihu Xu, Xiaolong Zhang, Xicheng Zhang Projects: B1
Submission Date: 14.03.2025 Submitter: Michael Röckner
Download: PDF Link: 24116

24115 Mengyu Cheng, Zimo Hao, Xicheng ZhangPDF

Averaging principle for SDEs with singular drifts driven by α-stable processes

Project: B1

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Averaging principle for SDEs with singular drifts driven by α-stable processes


Authors: Mengyu Cheng, Zimo Hao, Xicheng Zhang Projects: B1
Submission Date: 14.03.2025 Submitter: Michael Röckner
Download: PDF Link: 24115

24114 Haojie Hou, Xicheng ZhangPDF

Heat kernel estimates for nonlocal kinetic operators

Project: A5

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Heat kernel estimates for nonlocal kinetic operators


Authors: Haojie Hou, Xicheng Zhang Projects: A5
Submission Date: 14.03.2025 Submitter: Michael Röckner
Download: PDF Link: 24114

24113 Theresa Lange, Marco Rehmeier, Andre SchenkePDF

Non-uniqueness of Leray–Hopf solutions for the 3D fractional Navier–Stokes equations perturbed by transport noise

Project: B1

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Non-uniqueness of Leray–Hopf solutions for the 3D fractional Navier–Stokes equations perturbed by transport noise


Authors: Theresa Lange, Marco Rehmeier, Andre Schenke Projects: B1
Submission Date: 20.03.2025 Submitter: Michael Röckner
Download: PDF Link: 24113

24112 Lars Diening, Kyeong Bae Kim, Ho-Sik Lee, Simon NowakPDF

Gradient estimates for parabolic nonlinear nonlocal equations

Project: A7

Published: Calculus of Variations and Partial Differential Equations 64, no. 98 (2025)

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Gradient estimates for parabolic nonlinear nonlocal equations


Authors: Lars Diening, Kyeong Bae Kim, Ho-Sik Lee, Simon Nowak Projects: A7
Submission Date: 13.03.2025 Submitter: Moritz Kaßmann
Download: PDF Link: 24112
Published: Calculus of Variations and Partial Differential Equations 64, no. 98 (2025)

24111 Lars Diening, Kyeong Bae Kim, Ho-Sik Lee, Simon NowakPDF

Higher differentiability for the fractional p-Laplacian

Project: A7

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Higher differentiability for the fractional p-Laplacian


Authors: Lars Diening, Kyeong Bae Kim, Ho-Sik Lee, Simon Nowak Projects: A7
Submission Date: 13.03.2025 Submitter: Moritz Kaßmann
Download: PDF Link: 24111

24110 Linus Behn, Lars Diening, Simon Nowak, Toni ScharlePDF

The De Giorgi method for local and nonlocal systems

Project: A7

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The De Giorgi method for local and nonlocal systems


Authors: Linus Behn, Lars Diening, Simon Nowak, Toni Scharle Projects: A7
Submission Date: 13.03.2025 Submitter: Moritz Kaßmann
Download: PDF Link: 24110

24109 Lars Diening, Kyeong Bae Kim, Ho-Sik Lee, Simon NowakPDF

Nonlinear nonlocal potential theory at the gradient level

Project: A7

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Nonlinear nonlocal potential theory at the gradient level


Authors: Lars Diening, Kyeong Bae Kim, Ho-Sik Lee, Simon Nowak Projects: A7
Submission Date: 13.03.2025 Submitter: Moritz Kaßmann
Download: PDF Link: 24109

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