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Preprints 2019


19031 Simon Noah NowakPDF

$H^{s,p}$ 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

19030 Max Nendel, Michael RöcknerPDF

Upper envelopes of feller semigroups and viscosity solutions to a class of nonlinear cauchy problems

Project: B1, C5

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Upper envelopes of feller semigroups and viscosity solutions to a class of nonlinear cauchy problems


Authors: Max Nendel, Michael Röckner Projects: B1, C5
Submission Date: 12.06.2019 Submitter: Giorgio Ferrari
Download: PDF Link: 19030

19029 Dimitra Antonopoulou, L’ubomír Baňas, Robert Nürnberg, Andreas ProhlPDF

Numerical Approximation of the stochastic Cahn-Hillard equation near the sharp interface limit

Project: B3

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Numerical Approximation of the stochastic Cahn-Hillard equation near the sharp interface limit


Authors: Dimitra Antonopoulou, L’ubomír Baňas, Robert Nürnberg, Andreas Prohl Projects: B3
Submission Date: 06.06.2019 Submitter: Martina Hofmanová
Download: PDF Link: 19029

19028 Wei Liu, Michael Röckner, Xiaobin Sun, Yingchao XiePDF

Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients

Project: B1

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Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients


Authors: Wei Liu, Michael Röckner, Xiaobin Sun, Yingchao Xie Projects: B1
Submission Date: 05.06.2019 Submitter: Rongchan Zhu
Download: PDF Link: 19028

19027 Vladimir Bogachev, Michael Röckner, Stanislav ShaposhnikovPDF

On convergence to stationary distributions for solutions of nonlinear Fokker–Planck–Kolmogorov equations

Project: A5

To appear: J. Math. Sci (2019)

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On convergence to stationary distributions for solutions of nonlinear Fokker–Planck–Kolmogorov equations


Authors: Vladimir Bogachev, Michael Röckner, Stanislav Shaposhnikov Projects: A5
Submission Date: 27.05.2019 Submitter: Alexander Grigor'yan
Download: PDF Link: 19027
To appear: J. Math. Sci (2019)

19026 Taro Nagao, Gernot Akemann, Mario Kieburg, Iván ParraPDF

Families of two-dimensional Coulomb gases on anellipse: correlation functions and universality

Project: B5

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Families of two-dimensional Coulomb gases on anellipse: correlation functions and universality


Authors: Taro Nagao, Gernot Akemann, Mario Kieburg, Iván Parra Projects: B5
Submission Date: 27.05.2019 Submitter: Friedrich Götze
Download: PDF Link: 19026

19025 Gernot Akemann, Taro Nagao, Iván Parra, Graziano VernizziPDF

Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane

Project: B5

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Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane


Authors: Gernot Akemann, Taro Nagao, Iván Parra, Graziano Vernizzi Projects: B5
Submission Date: 27.05.2019 Submitter: Friedrich Götze
Download: PDF Link: 19025

19024 Torben KochPDF

Universal bounds and monotonicity properties of ratios of hermite and parabolic cylinder functions

Project: C4

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Universal bounds and monotonicity properties of ratios of hermite and parabolic cylinder functions


Authors: Torben Koch Projects: C4
Submission Date: 22.05.2019 Submitter: Frank Riedel
Download: PDF Link: 19024

19023 Wei Liu, Michael Röckner, Xiaobin Sun, Yingchao XiePDF

Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients

Project: B1

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Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients


Authors: Wei Liu, Michael Röckner, Xiaobin Sun, Yingchao Xie Projects: B1
Submission Date: 21.05.2019 Submitter: Barbara Gentz
Download: PDF Link: 19023

19022 Robbert Fokkink, Dan RustPDF

A modification of Wythoff's Nim

Project: A6

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A modification of Wythoff's Nim


Authors: Robbert Fokkink, Dan Rust Projects: A6
Submission Date: 21.05.2019 Submitter: Michael Baake
Download: PDF Link: 19022

19021 Lucian Beznea, Iulian Cimpean, Michael RöcknerPDF

Treatment of not allowed starting points for solutions to singular SDEs on Hilbert spaces: a general approach

Project: B1

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Treatment of not allowed starting points for solutions to singular SDEs on Hilbert spaces: a general approach


Authors: Lucian Beznea, Iulian Cimpean, Michael Röckner Projects: B1
Submission Date: 20.05.2019 Submitter: Barbara Gentz
Download: PDF Link: 19021

19020 Panpan Ren, Michael Röckner, Feng-Yu WangPDF

Ergodicity and Feynman-Kac Formula for Space-Distribution Valued Diffusion Processes

Project: A5

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Ergodicity and Feynman-Kac Formula for Space-Distribution Valued Diffusion Processes


Authors: Panpan Ren, Michael Röckner, Feng-Yu Wang Projects: A5
Submission Date: 18.05.2019 Submitter: Alexander Grigor'yan
Download: PDF Link: 19020

19019 Michael Baake, Uwe GrimmPDF

Scaling of diffraction intensities near the origin: Some rigorous results

Project: A6

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Scaling of diffraction intensities near the origin: Some rigorous results


Authors: Michael Baake, Uwe Grimm Projects: A6
Submission Date: 15.05.2019 Submitter: Sebastian Herr
Download: PDF Link: 19019

19018 Wolfhard HansenPDF

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

19017 Shinya KinoshitaPDF

Global Well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D

Project: A1

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Global Well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D


Authors: Shinya Kinoshita Projects: A1
Submission Date: 07.05.2019 Submitter: Sebastian Herr
Download: PDF Link: 19017

19016 Ionut Munteanu, Michael RöcknerPDF

Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions

Project: B1

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Global solutions for random vorticity equations perturbed by gradient dependent noise, in two and three dimensions


Authors: Ionut Munteanu, Michael Röckner Projects: B1
Submission Date: 29.04.2019 Submitter: L’ubomír Baňas
Download: PDF Link: 19016

19015 Frank Riedel, Qian LinPDF

All wealth in assets is optimal under interest rate uncertainty

Project: C3

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All wealth in assets is optimal under interest rate uncertainty


Authors: Frank Riedel, Qian Lin Projects: C3
Submission Date: 29.04.2019 Submitter: Giorgio Ferrari
Download: PDF Link: 19015

19014 Salvatore Federico, Giorgio Ferrari, Frank Riedel, Michael RöcknerPDF

On a Class of Infinite-Dimensional Singular Stochastic Control Problems

Project: B1, C3, C4

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On a Class of Infinite-Dimensional Singular Stochastic Control Problems


Authors: Salvatore Federico, Giorgio Ferrari, Frank Riedel, Michael Röckner Projects: B1, C3, C4
Submission Date: 26.04.2019 Submitter: Herbert Dawid
Download: PDF Link: 19014

19013 Feng-Yu WangPDF

Diffusions and PDEs on Wasserstein Space

Project: A5

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Diffusions and PDEs on Wasserstein Space


Authors: Feng-Yu Wang Projects: A5
Submission Date: 11.04.2019 Submitter: Michael Röckner
Download: PDF Link: 19013

19012 Viorel Barbu, Michael RöcknerPDF

The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation

Project: A5

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The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation


Authors: Viorel Barbu, Michael Röckner Projects: A5
Submission Date: 10.04.2019 Submitter: Alexander Grigor'yan
Download: PDF Link: 19012

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