Publications in Analysis and Partial Differential Equations

A Galerkin type method for kinetic Fokker Planck equations based on Hermite expansions

Avelin, Benny; Hou, Mingyi; Nyström, Kaj

Part of Kinetic and Related Models, 2023.

A note on fundamental solutions and Gaussian bounds for degenerate parabolic equations with time-dependent coefficients

Ataei, Alireza; Nyström, Kaj

2023.

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, 2023.

Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games

Fjellström, Carmina; Nyström, Kaj; Wang, Yuqiong

Part of Journal of Differential Equations, p. 150-178, 2023.

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Boundedness of Fourier integral operators on classical function spaces

Israelsson, Anders; Mattsson, Tobias; Staubach, Wolfgang

Part of Journal of Functional Analysis, 2023.

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Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets

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

Part of Analysis & PDE, p. 1061-1088, 2023.

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Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains

Saari, Olli; Schwarzacher, Sebastian

Part of ANNALS OF PDE, 2023.

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Corona Decompositions for Parabolic Uniformly Rectifiable Sets

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

Part of The journal of geometric analysis, 2023.

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Estimates for evolutionary partial differential equations in classical function spaces

Castro, Alejandro J.; Israelsson, Anders; Staubach, Wolfgang; Yerlanov, Madi

Part of FORUM OF MATHEMATICS, SIGMA, 2023.

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Gap Probabilities in Random Matrix Ensembles

Bäcklin, Oskar

2023.

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Geometric Characterization of the Eyring-Kramers Formula

Avelin, Benny; Julin, Vesa; Viitasaari, Lauri

Part of Communications in Mathematical Physics, p. 401-437, 2023.

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Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations

Garain, Prashanta; Lindgren, Erik

Part of Calculus of Variations and Partial Differential Equations, 2023.

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Itô Diffusions on Level Sets

Olofsson, Coën

2023.

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Modeling market indexes and commodity futures with the copula- GARCH model

Vestman, Jasmine

2023.

Navier-Stokes-Fourier fluids interacting with elastic shells

Breit, Dominic; Schwarzacher, Sebastian

Part of Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V, p. 619-690, 2023.

DOI for Navier-Stokes-Fourier fluids interacting with elastic shells

On a class of weighted anisotropic p-Laplace equation with singular nonlinearity

Garain, Prashanta

Part of TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, p. 775-799, 2023.

DOI for On a class of weighted anisotropic p-Laplace equation with singular nonlinearity

On an anisotropic double phase problem with singular and sign changing nonlinearity

Garain, Prashanta; Mukherjee, Tuhina

Part of Nonlinear Analysis, 2023.

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On Geometric Number

Gunnarsson, Petter

2023.

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On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients

Litsgård, Malte; Nyström, Kaj

Part of Journal of evolution equations (Printed ed.), 2023.

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On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients

Garain, Prashanta; Nyström, Kaj

Part of MATHEMATICS IN ENGINEERING, p. 1-37, 2023.

DOI for On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients

On the Modelling of Stochastic Gradient Descent with Stochastic Differential Equations

Leino, Martin

2023.

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On the regularity of multilinear Schrödinger integral operators

Bergfeldt, Aksel; Staubach, Wolfgang

Part of Analysis and Applications, p. 385-427, 2023.

DOI for On the regularity of multilinear Schrödinger integral operators

Prediction of nickel product prices with LSTM

Rosendahl, Daniella

2023.

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Pricing and Hedging American-Style Options withDeep Learning: Algorithmic implementation

Khan, Mohammed Moniruzzaman

2023.

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Bergfeldt, Aksel

Regularity of multilinear oscillatory integral operators and nonlinear dispersive partial differential equations

2023.

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Solvability of the L^p Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in thecase of a parabolic Lipschitz graph

Bortz, Simon; Hofmann, Steve; Martell, Jose Maria; Nyström, Kaj

2023.

Solving the Dirichlet problem for the Monge-Ampère equation using neural networks

Nyström, Kaj; Vestberg, Matias

Part of Journal of Computational Mathematics and Data Science, 2023.

Square function estimates for the evolutionary p-Laplace equation

Nyström, Kaj

Part of Discrete and Continuous Dynamical Systems, 2023.

Sublimation temperature prediction of OLED materials: using machine learning

Norinder, Niklas

2023.

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The Kato square root problem for weighted parabolic operators

Ataei, Alireza; Egert, Moritz; Nyström, Kaj

Part of Analysis & PDE, 2023.

Tug-of-war with Kolmogorov

Fjellström, Carmina; Nyström, Kaj; Vestberg, Matias

Part of Journal of Differential Equations, p. 501-558, 2023.

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Unrestricted deformations of thin elastic structures interacting with fluids

Kampschulte, Malte; Schwarzacher, Sebastian; Sperone, Gianmarco

Part of Journal des Mathématiques Pures et Appliquées, p. 96-148, 2023.

DOI for Unrestricted deformations of thin elastic structures interacting with fluids

A Finite Difference Method for the Variational p-Laplacian

del Teso, Felix; Lindgren, Erik

Part of Journal of Scientific Computing, 2022.

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Analysis on quasidisks: A unified approach through transmission and jump problems

Schippers, Eric; Staubach, Wolfgang

Part of EMS SURVEYS IN MATHEMATICAL SCIENCES, p. 31-97, 2022.

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C*-algebras and the Spectral Theorem

Fors, Hannes

2022.

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CORONIZATIONS AND BIG PIECES IN METRIC SPACES

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

Part of Annales de l'Institut Fourier, p. 2037-2078, 2022.

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Deep learning, stochastic gradient descent and diffusion maps

Fjellström, Carmina; Nyström, Kaj

Part of Journal of Computational Mathematics and Data Science, 2022.

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Deep Limits and a Cut-Off Phenomenon for Neural Networks

Avelin, Benny; Karlsson, Anders

Part of Journal of machine learning research, 2022.

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Extremal polynomials on a Jordan arc

Alpan, Gökalp

Part of Journal of Approximation Theory, 2022.

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Generalised functions and distributions

Gustafsson, Hannes

2022.

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Hawkes-Based Models for High Frequency Financial Data

Nyström, Kaj; Zhang, Changyong

Part of Journal of the Operational Research Society, p. 2168-2185, 2022.

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Hermitian and non-Hermitian perturbations of chiral Gaussian beta-ensembles

Alpan, Gökalp; Kozhan, Rostyslav

Part of Journal of Mathematical Physics, 2022.

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Neural ODEs

Axelsson, Andreas

2022.

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On a comparison principle for Trudinger's equation

Lindgren, Erik; Lindqvist, Peter

Part of Advances in Calculus of Variations, p. 401-415, 2022.

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On big pieces approximations of parabolic hypersurfaces

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

Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 533-571, 2022.

On (p,q)-eigenvalues of subelliptic operators on homogeneous Lie groups

Garain, Prashanta; Ukhlov, Alexander

Part of TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, p. 207-216, 2022.

On weighted norm inequalities for oscillatory integral operators

Bergfeldt, Aksel; Rodríguez-López, Salvador; Staubach, Wolfgang

Part of Analysis and Mathematical Physics, 2022.

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Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients

Litsgård, Malte; Nyström, Kaj

Part of Journal des Mathématiques Pures et Appliquées, p. 45-100, 2022.

DOI for Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients Download full text (pdf) of Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients

The Kato square root problem for parabolic operators with an anti-symmetric part in BMO

Ataei, Alireza; Nyström, Kaj

2022.

Widom factors for generalized Jacobi measures

Alpan, Gökalp

Part of Journal of Mathematical Analysis and Applications, 2022.

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