Publications in Analysis and Partial Differential Equations

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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Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets

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

Part of Analysis & PDE, 2023.

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.

DOI for Corona Decompositions for Parabolic Uniformly Rectifiable Sets

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 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 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

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

Khan, Mohammed Moniruzzaman

2023.

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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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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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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, p. 100054-100054, 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

Square function estimates for the evolutionary p-Laplace equation

Nyström, Kaj

2022.

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

Ataei, Alireza; Nyström, Kaj

2022.

The Kato square root problem for weighted parabolic operators

Ataei, Alireza; Egert, Moritz; Nyström, Kaj

2022.

Widom factors for generalized Jacobi measures

Alpan, Gökalp

Part of Journal of Mathematical Analysis and Applications, 2022.

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A mean value formula for the variational p-Laplacian

del Teso, Felix; Lindgren, Erik

Part of NoDEA. Nonlinear differential equations and applications (Printed ed.), 2021.

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Continuity of solutions to a nonlinear fractional diffusion equation

Brasco, Lorenzo; Lindgren, Erik; Strömqvist, Martin

Part of Journal of evolution equations (Printed ed.), p. 4319-4381, 2021.

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Global boundedness of a class of multilinear Fourier integral operators

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

2021.

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Large time behavior of solutions of Trudinger's equation

Hynd, Ryan; Lindgren, Erik

Part of Journal of Differential Equations, p. 188-230, 2021.

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LOCAL AND GLOBAL ESTIMATES FOR HYPERBOLIC EQUATIONS IN BESOV-LIPSCHITZ AND TRIEBEL-LIZORKIN SPACES

Israelsson, Anders; Rodriguez-Lopez, Salvador; Staubach, Wolfgang

Part of Analysis & PDE, p. 1-44, 2021.

DOI for LOCAL AND GLOBAL ESTIMATES FOR HYPERBOLIC EQUATIONS IN BESOV-LIPSCHITZ AND TRIEBEL-LIZORKIN SPACES

Neural networks as smooth priors for inverse problems for PDEs

Lindström, Jens; Nyström, Kaj

Part of Journal of Computational Mathematics and Data Science, 2021.

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Neural ODEs as the deep limit of ResNets with constant weights

Avelin, Benny; Nyström, Kaj

Part of ANALYSIS AND APPLICATIONS, p. 397-437, 2021.

DOI for Neural ODEs as the deep limit of ResNets with constant weights

ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Avelin, Benny; Viitasaari, L.

Part of THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, p. 49-60, 2021.

DOI for ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type

Litsgard, Malte; Nyström, Kaj

Part of Advances in Mathematics, 2021.

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Regularity of Fourier integral operators with amplitudes in general Hormander classes

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

Part of Analysis and Mathematical Physics, 2021.

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Schiffer operators and calculation of a determinant line in conformal field theory

Radnell, David; Schippers, Eric; Shirazi, Mohammad; Staubach, Wolfgang

Part of New York journal of mathematics, p. 253-271, 2021.

The Dirichlet problem for Kolmogorov-Fokker-Planck type equations with rough coefficients

Litsgård, Malte; Nyström, Kaj

Part of Journal of Functional Analysis, 2021.

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The gradient flow of infinity-harmonic potentials

Lindgren, Erik; Lindqvist, Peter

Part of Advances in Mathematics, 2021.

DOI for The gradient flow of infinity-harmonic potentials

Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI

Langner, Taro; Gustafsson, Fredrik K.; Avelin, Benny; Strand, Robin et al.

Part of Computerized Medical Imaging and Graphics, 2021.

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Boundary behavior of solutions to the parabolic p-Laplace equation II

Avelin, Benny

Part of Journal of Functional Analysis, 2020.

DOI for Boundary behavior of solutions to the parabolic p-Laplace equation II

Dirichlet spaces of domains bounded by quasicircles

Radnell, David; Schippers, Eric; Staubach, Wolfgang

Part of Communications in Contemporary Mathematics, 2020.

DOI for Dirichlet spaces of domains bounded by quasicircles

L2 well-posedness of boundary value problems and the Kato square root problem for parabolic systems with measurable coefficients

Auscher, Pascal; Egert, Moritz; Nyström, Kaj

Part of Journal of the European Mathematical Society (Print), p. 2943-3058, 2020.

DOI for L2 well-posedness of boundary value problems and the Kato square root problem for parabolic systems with measurable coefficients

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

Litsgård, Malte; Nyström, Kaj

2020.

Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles

Schippers, Eric; Shirazi, Mohammad; Staubach, Wolfgang

Part of Journal of Geometric Analysis, p. 5877-5908, 2020.

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TRANSMISSION OF HARMONIC FUNCTIONS THROUGH QUASICIRCLES ON COMPACT RIEMANN SURFACES

Schippers, Eric; Staubach, Wolfgang

Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 1110-1133, 2020.

DOI for TRANSMISSION OF HARMONIC FUNCTIONS THROUGH QUASICIRCLES ON COMPACT RIEMANN SURFACES Download full text (pdf) of TRANSMISSION OF HARMONIC FUNCTIONS THROUGH QUASICIRCLES ON COMPACT RIEMANN SURFACES

A Model of the Teichmüller space of genus-zero bordered surfaces by period maps

Radnell, David; Schippers, Eric; Staubach, Wolfgang

Part of Conformal Geometry and Dynamics, p. 32-51, 2019.

DOI for A Model of the Teichmüller space of genus-zero bordered surfaces by period maps