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2023

Fabian Hoppe, Hannes Meinlschmidt and Ira Neitzel
Global-in-time solutions for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale
2023
https://arxiv.org/abs/2303.04659

2022

Anton Bovier and Lisa B. Hartung
The speed of invasion in an advancing population
2022
https://arxiv.org/abs/2204.11072
Fabian Hoppe and Ira Neitzel
Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization
2022
https://ins.uni-bonn.de/media/public/publication-media/2201.pdf?pk=1589
Fabian Hoppe
Sparse optimal control of a quasilinear elliptic PDE in measure spaces
2022
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2202.pdf?pk=1593

2021

Yanjia Bai and Lisa B. Hartung
Refined Large Deviation Principle for Branching Brownian Motion Having a Low Maximum
2021
https://arxiv.org/abs/2102.09513
Anton Bovier and Lisa B. Hartung
Branching Brownian motion with self repulsion
2021
http://arxiv.org/abs/2102.07128
Hwijae Son, Jin Woo Jang, Woo Jin Han and Hyung Ju Hwang
Sobolev Training for the Neural Network Solutions of PDEs
2021
https://arxiv.org/abs/2101.08932

2020

David Fajman, Gernot Heißel and Jin Woo Jang
Averaging with a time-dependent perturbation parameter
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200612844F
Maximillian Fels and Lisa B. Hartung
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Extremal process in the weakly correlated regime
2020
https://arxiv.org/abs/2002.00925
Maximilian Fels and Lisa B. Hartung
Extremes of the 2d scale-inhomogeneous discrete Gaussian free field: Convergence of the maximum in the regime of weak correlations
2020
https://arxiv.org/abs/1912.13184
Fabian Hoppe and Ira Neitzel
Optimal control of quasilinear parabolic PDEs with state constraints
2020
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2004.pdf
Fabian Hoppe and Ira Neitzel
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
2020
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint2005.pdf
Jae Yong Lee, Jin Woo Jang and Hyung Ju Hwang
The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach
2020
https://ui.adsabs.harvard.edu/abs/2020arXiv200913280L

2019

Alexander Effland, Erich Kobler, Anne Brandenburg, Teresa Klatzer, Leonie Neuhäuser, Michael Hölzel, Jennifer Landsberg, Thomas Pock and Martin Rumpf
Joint reconstruction and classification of tumor cells and cell interactions in melanoma tissue sections with synthesized training data
International Journal of Computer Assisted Radiology and Surgery, 14(4): 587--599 2019
https://dx.doi.org/10.1007/s11548-019-01919-z
Fabian Hoppe and Ira Neitzel
Convergence of the SQP Method for Quasilinear Parabolic Optimal Control Problems
2019
https://ins.uni-bonn.de/media/public/publication-media/INSPreprint1907.pdf

2018

Anton Bovier and Lisa B. Hartung
From $1$ to $6$: a finer analysis of perturbed branching Brownian motion
2018
https://arxiv.org/abs/1808.05445
D. Dũng, M. Griebel, V. N. Huy and C. Rieger
$\varepsilon$-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs
Journal of Complexity, 46: 66--89 2018
10.1016/j.jco.2017.12.001
Matthias Erbar, Martin Huesmann and Thomas Leblé
The one-dimensional log-gas free energy has a unique minimiser
arxiv e-print 1812.06929 2018
https://arxiv.org/abs/1812.06929
A. Giunti, R. Höfer and J.J.L. Velázquez
Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes
2018
https://arxiv.org/abs/1803.10214
Arianna Giunti and Richard M. Höfer
Homogenization for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes
arXiv e-prints: arXiv:1809.04491 2018
https://ui.adsabs.harvard.edu/abs/2018arXiv180904491G