Publications in Analysis and Partial Differential Equations

Boundedness, ultracontractive bounds and optimal evolution of the support for doubly nonlinear anisotropic diffusion

Ciani, Simone; Vespri, Vincenzo; Vestberg, Matias

Part of Annali di Matematica Pura ed Applicata, p. 181-231, 2026

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Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations

Nastasi, Antonella; Peña Ayala, Emiliano; Vestberg, Matias

Part of Nonlinear Analysis, 2026

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Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings

Schippers, Eric; Staubach, Wolfgang

Part of Communications in Contemporary Mathematics, 2026

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2D Magnetic stability

Lundholm, Douglas

Part of International Journal of Geometric Methods in Modern Physics (IJGMMP), 2026

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• DOI for 2D Magnetic stability

Magnetic Thomas-Fermi theory for 2D abelian anyons

Levitt, Antoine; Lundholm, Douglas; Rougerie, Nicolas

Part of SCIPOST PHYSICS CORE, 2026

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Constraint Maps: Insights and Related Themes

Figalli, Alessio; Guerra, Andre; Kim, Sunghan; Shahgholian, Henrik

Part of MATEMATICA, 2026

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Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems

Schippers, Eric; Staubach, Wolfgang

Part of Communications in Contemporary Mathematics, 2026

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Multiple orthogonal polynomials on the real line and the unit circle

Vaktnäs, Marcus

2026

Doctoral thesis, comprehensive summary

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Determinantal Formulas for Rational Perturbations of Multiple Orthogonality Measures

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Journal of Approximation Theory, 2026

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Large time behavior for a nonlocal nonlinear gradient flow

Li, Feng; Lindgren, Erik

Part of Discrete and Continuous Dynamical Systems, p. 1516-1546, 2023

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• DOI for Large time behavior for a nonlocal nonlinear gradient flow

Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs

Andersson, Martin; Avelin, Benny; Viitasaari, Lauri; Garino, Valentin et al.

Manuscript (preprint)

• DOI for Non-parametric estimation of non-linear diffusion coefficient in parabolic SPDEs

On the Effectiveness of Classical Regression Methods for Optimal Switching Problems

Andersson, Martin; Avelin, Benny; Olofsson, Marcus

Manuscript (preprint)

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A Structure Theorem for Elliptic and Parabolic Operators with Applications to Homogenization of Operators of Kolmogorov Type

Litsgård, Malte; Nyström, Kaj

Part of Analysis & PDE, p. 1547-1588, 2023

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• DOI for A Structure Theorem for Elliptic and Parabolic Operators with Applications to Homogenization of Operators of Kolmogorov Type
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Exploring singularities in data with the graph Laplacian: An explicit approach

Andersson, Martin; Avelin, Benny

Part of Journal of Computational Mathematics and Data Science, 2025

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Existence and uniqueness of the solutions to convection–diffusion equations

Ataei, Alireza

Part of Journal of evolution equations (Printed ed.), 2026

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• DOI for Existence and uniqueness of the solutions to convection–diffusion equations
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Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type

Schippers, Eric; Staubach, Wolfgang

Part of In the Tradition of Thurston III, p. 169-247, Springer, 2024

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• DOI for Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type

A Modification of the Random Cutting Model

Burghart, Fabian

Part of 33Rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, AOFA 2022, p. 1-14, 2022

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1D stochastic pressure equation with log-correlated Gaussian coefficients

Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero et al.

Part of Stochastic Processes and their Applications, 2026

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Zeros of multiple orthogonal polynomials: location and interlacing

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Bulletin of the London Mathematical Society, 2026

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Nearly orthonormal vectors and approximation of the pluricomplex Green function

Alghamdi, Azza; Klimek, Maciej; Kosek, Marta

Part of Annales Polonici Mathematici, p. 19-33, 2025

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• DOI for Nearly orthonormal vectors and approximation of the pluricomplex Green function

A fermionic Grunsky operator

Kristel, Peter; Schippers, Eric; Staubach, Wolfgang

Part of Mathematische Annalen, p. 5317-5359, 2025

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Approximation by T means with respect to Vilenkin system in Lebesgue spaces

Anakidze, N.; Areshidze, N.; Persson, Lars-Erik; Tephnadze, G.

Part of Eurasian Mathematical Journal, p. 8-22, 2025

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• DOI for Approximation by T means with respect to Vilenkin system in Lebesgue spaces

Szegő asymptotics for matrix-valued measures with countably many bound states

Kozhan, Rostyslav

Part of Journal of Approximation Theory, p. 1211-1224, 2010

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Meromorphic Continuations of Finite Gap Herglotz Functions and Periodic Jacobi Matrices

Kozhan, Rostyslav

Part of Communications in Mathematical Physics, p. 921-950, 2014

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• DOI for Meromorphic Continuations of Finite Gap Herglotz Functions and Periodic Jacobi Matrices

L 1-spectrum of Banach space valued Ornstein–Uhlenbeck operators

Kozhan, Rostyslav

Part of Semigroup Forum, p. 547-553, 2008

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On Gaussian random matrices coupled to the discrete Laplacian

Kozhan, Rostyslav

Part of Analysis as a Tool in Mathematical Physics, p. 434-447, Birkhäuser Verlag, 2020

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• DOI for On Gaussian random matrices coupled to the discrete Laplacian

Equivalence classes of block Jacobi matrices

Kozhan, Rostyslav

Part of Proceedings of the American Mathematical Society, p. 799-799, 2011

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• DOI for Equivalence classes of block Jacobi matrices

Asymptotics of the eigenvalues of two-diagonal Jacobi matrices

Kozhan, Rostyslav

Part of Mathematical notes of the Academy of Sciences of the USSR, p. 283-287, 2005

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• DOI for Asymptotics of the eigenvalues of two-diagonal Jacobi matrices

Jost Asymptotics for Matrix Orthogonal Polynomials on the Real Line

Kozhan, Rostyslav

Part of Constructive approximation, p. 267-309, 2012

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The Stokes problem with Navier boundary conditions in irregular domains

Breit, Dominic; Schwarzacher, Sebastian

Part of Calculus of Variations and Partial Differential Equations, 2025

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Christoffel transform and multiple orthogonal polynomials

Kozhan, Rostyslav; Vaktnäs, Marcus

Part of Journal of Computational and Applied Mathematics, 2026

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Integer Solutions to Some Diophantine Equations of Leech Type with Geometric Applications

Hoibakk, Ralph; Lukkassen, Dag; Meidell, Annette; Persson, Lars-Erik

Part of Mathematics, 2025

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Constraint Maps and Free Boundaries

Figalli, Alessio; Guerra, André; Kim, Sunghan; Shahgolian, Henrik

Part of Notices of the American Mathematical Society, p. 1-1, 2025

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Multiplicative non-Hermitian perturbations of classical β-ensembles

Alpan, Gökalp; Kozhan, Rostyslav

Part of Random Matrices. Theory and Applications, 2025

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• DOI for Multiplicative non-Hermitian perturbations of classical β-ensembles

Approximation of BV functions by neural networks: A regularity theory approach

Avelin, Benny; Julin, Vesa

Part of Analysis and Applications, p. 1178-1179, 2025

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• DOI for Approximation of BV functions by neural networks: A regularity theory approach

Global boundedness of a class of multilinear Fourier integral operators

Rodriguez-Lopez, Salvador; Rule, David; Staubach, Wolfgang

Part of Forum of Mathematics Sigma, 2021

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Existence of Strong Solutions for a Perfect Elastic Beam Interacting with Navier-Stokes Equations

Schwarzacher, Sebastian; Su, Pei

Part of Communications in Mathematical Physics, 2025

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On the regularity of systems of dispersive partial differential equations

Bergfeldt, Aksel; Staubach, Wolfgang

Part of Arkiv för matematik, p. 1-30, 2025

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• DOI for On the regularity of systems of dispersive partial differential equations
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Renormalized stochastic pressure equation with log-correlated Gaussian coefficients

Avelin, Benny; Kuusi, Tuomo; Nummi, Patrik; Saksman, Eero et al.

Part of Journal of Differential Equations, 2025

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HARDY-HILBERT TYPE INEQUALITIES ON HOMOGENEOUS GROUPS-AN INTRODUCTION AND GENERALIZATION TO THE KERNEL CASE

Yimer, Markos fisseha; Persson, Lars-Erik; Ruzhansky, Michael; Samko, Natasha et al.

Part of Mathematical Inequalities & Applications, p. 239-255, 2025

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• DOI for HARDY-HILBERT TYPE INEQUALITIES ON HOMOGENEOUS GROUPS-AN INTRODUCTION AND GENERALIZATION TO THE KERNEL CASE
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Parabolic singular integrals with nonhomogeneous kernels

Bortz, Simon; Hoffman, John; Hofmann, Steve; Luna Garcia, Jose-Luis et al.

2025

Manuscript (preprint)

Calderón-Zygmund type estimate for the singular parabolic double-phase system

Kim, Wontae

Part of Journal of Mathematical Analysis and Applications, 2025

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Sparse Domination and Regularity Properties of Oscillatory and Fourier Integral Operators in Harmonic Analysis

Mattsson, Tobias

2025

Doctoral thesis, comprehensive summary

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Regularity of oscillatory integral operators

Israelsson, Anders; Mattsson, Tobias; Staubach, Wolfgang

Manuscript (preprint)

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On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients

Ataei, Alireza; Nyström, Kaj

Part of Potential Analysis, p. 465-483, 2024

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• DOI for On Fundamental Solutions and Gaussian Bounds for Degenerate Parabolic Equations with Time-dependent Coefficients
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Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions

Nguyen, Dinh Thi; Ricaud, Julien

Part of Letters in Mathematical Physics, 2025

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• DOI for Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions

Overfare of harmonic functions on Riemann surfaces

Schippers, Eric; Staubach, Wolfgang

Part of New York Journal of Mathematics, p. 321-367, 2025

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Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equations

Vestberg, Matias

Part of Journal of evolution equations (Printed ed.), 2025

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• DOI for Existence, comparison principle and uniqueness for doubly nonlinear anisotropic evolution equations
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Compressible fluids interacting with 3D visco-elastic bulk solids

Breit, Dominic; Kampschulte, Malte; Schwarzacher, Sebastian

Part of Mathematische Annalen, p. 5495-5552, 2024

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• DOI for Compressible fluids interacting with 3D visco-elastic bulk solids
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Convergence Almost Everywhere of Partial Sums and Féjer Means of Vilenkin-Fourier Series

Areshidze, N.; Persson, Lars-Erik; Tephnadze, G.

Part of Mediterranean Journal of Mathematics, 2025

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• DOI for Convergence Almost Everywhere of Partial Sums and Féjer Means of Vilenkin-Fourier Series
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