IRTG Publications in 2024

• The Calderón's Problem via DeepONets
  (2024)
  Vietnam J. Math.
  PUB | DOI | URL
• Collective behaviors of second-order nonlinear consensus models with a bonding force
  Ahn H, Byeon J, Ha SY, Yoon J (2024)
  J. Korean Math. Soc. 61(3): 565–602
  arXiv | DOI
• Global regularity for nonlinear systems with symmetric gradients
  Behn L, Diening L (2024)
  Calculus of Variations and Partial Differential Equations 63(3): 60.
  PUB | PDF | DOI | WoS | arXiv | Preprint
• Nonlocal equations with degenerate weights
  Behn L, Diening L, Ok J, Rolfes J (2024)
  arXiv:2409.11829.
  arXiv | DOI
• A Hölder estimate with an optimal tail for nonlocal parabolic p-Laplace equations
  Byun SS, Kim K (2024)
  Ann. Mat. Pura Appl. 203: 109–147
  DOI
• Calderón-Zygmund theory of nonlocal parabolic equations with discontinuous coefficients
  Byun SS, Kim K, Kumar D (2024)
  Ann. Scuola Norm-Sci.
  arXiv | DOI
• Gradient estimates for mixed local and nonlocal parabolic problems with measure data
  Byun SS, Kim K, Kumar D (2024)
  J. Math. Anal. Appl. 538(2), Article No. 128351
  DOI
• Regularity results for a class of nonlocal double phase equations with VMO coefficients
  Byun SS, Kim K, Kumar D (2024)
  Publ. Mat. 68(2): 507–544
  arXiv | DOI
• Finite size corrections for real eigenvalues of the elliptic Ginibre matrices
  Byun SS, Lee YW (2024)
  Random Matrices: Theory Appl. 13(01): 245000–5
  DOI
• A general framework for nonlocal Neumann problems
  Foghem G, Kassmann M (2024)
  Commun. Math. Sci. 22(1): 15–66
  arXiv | DOI
• Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits
  Gess B, Wu Z, Zhang R (2024)
  arXiv:2406.17892.
  PUB | arXiv
• Boundary regularity and Hopf lemma for nondegenerate stable operators
  Grube F (2024)
  arXiv:2410.00829.
  PUB | DOI | arXiv
• Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation
  Grube F (2024)
  arXiv:2411.00687.
  PUB | DOI | arXiv
• Robust nonlocal trace spaces and Neumann problems
  Grube F, Hensiek T (2024)
  Nonlinear Analysis 241: 113481.
  PUB | DOI | WoS | arXiv
• Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii-type: the time-dependent case
  Grube S (2024)
  J. Evol. Equ. 24(2), Article No. 37, 14pp.
  arXiv | DOI
• Exterior value problems for integro-differential operators
  Hensiek T (2024)
  Bielefeld: Universität Bielefeld.
  PUB | PDF | DOI
• The divergence theorem and nonlocal counterparts
  Hepp S, Kassmann M (2024)
  Bull. Lond. Math. Soc. 56(2): 711–733
  PUB | arXiv | DOI
• Strichartz estimates and global well-posedness of the cubic NLS on $\mathbb{T}^{2}$
  Herr S, Kwak B (2024)
  Forum Math. Pi 12, Article No. e14, 21pp.
  PUB | arXiv | DOI
• A tensor product approach to non-local differential complexes
  Hinz M, Kommer J (2024)
  Math. Ann. 389: 2357–2409
  arXiv | DOI
• Differential complexes for local Dirichlet spaces, and non-local-to-local approximations
  Hinz M, Kommer J (2024)
  arXiv:2407.07252.
  arXiv
• On equations of continuity and transport type on metric graphs and fractals
  Hinz M, Schefer W (2024)
  arXiv:2412.07988.
  PUB | arXiv
• McKean-Vlasov SDE and SPDE with Locally Monotone Coefficients
  Hong W, Hu S, Liu W (2024)
  Ann. Appl. Probab. 34(2)
  arXiv | DOI
• Local well-posedness of the Benjamin–Ono equation for a class of bounded initial data
  Jöckel N (2024)
  arXiv:2402.01464.
  arXiv | DOI
• Well-posedness of the periodic dispersion-generalized Benjamin–Ono equation in the weakly dispersive regime
  Jöckel N (2024)
  Nonlinearity 37(8), Article No. 085002, 37pp.
  arXiv | DOI
• The parabolic Harnack inequality for nonlocal equations
  Kassmann M, Weidner M (2024)
  Duke Math. J. 173(17): 3413–3451
  arXiv | DOI
• Blow-up dynamics for smooth finite energy radial data solutions to the self-dual Chern-Simons-Schrödinger equation
  Kim K, Kwon S, Oh SJ (2024)
  Ann. Sci. Éc. Norm. Supér. 57(6): 1599–1691
  arXiv | DOI
• Global well-posedness of the energy-critical nonlinear Schrödinger equations on $\mathbb{T}^{d}$
  Kwak B (2024)
  arXiv:2411.18163.
  arXiv
• Critical local well-posedness of the nonlinear Schrödinger equation on the torus
  Kwak B, Kwon S (2024)
  Ann. Inst. Henri Poincaré C
  DOI
• Weighted sums and Berry-Esseen type estimates in free probability theory
  Neufeld L (2024)
  Probability Theory and Related Fields 190(3-4): 803-879.
  PUB | PDF | DOI | WoS
• First Order Differential Operators and Equations of Continuity and Transport-Type on metric Graphs and Fractals
  Schefer W (2024)
  Bielefeld: Universität Bielefeld.
  PUB | PDF | DOI
• Probabilistic Approaches to The Energy Equality in Forced Surface Quasi-Geostrophic Equations
  Wang L, Wu Z (2024)
  arXiv:2411.04500.
  PUB | arXiv
• Dean-Kawasaki Equation with Singular Interactions and Applications to Dynamical Ising–Kac Model
  Wang L, Wu Z, Zhang R (2024)
  arXiv:2207.12774v3.
  arXiv | DOI
• Large Deviations and Higher Order Fluctuation Expansions for Conservative Stochastic PDEs
  Wu Z (2024)
  Bielefeld: Universität Bielefeld.
  PUB | PDF | DOI
• McKean–Vlasov PDE with Irregular Drift and Applications to Large Deviations for Conservative SPDEs
  Wu Z, Zhang R (2024)
  arXiv:2208.13142v2.
  arXiv | DOI