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Mathematics

D-Index
36
Citations
4561
World Ranking
2674
National Ranking
19

Overview

Tuomo Kuusi is affiliated with the University of Helsinki in Finland and has contributed extensively to research primarily in mathematics and computer science.

Their recent publications include:

  • Global existence for the p-Sobolev flow, 2021, Journal of Differential Equations
  • Large-Scale Analyticity and Unique Continuation for Periodic Elliptic Equations, 2020, Communications on Pure and Applied Mathematics
  • Homogenization, Linearization, and Large-Scale Regularity for Nonlinear Elliptic Equations, 2020, Communications on Pure and Applied Mathematics
  • An iterative method for elliptic problems with rapidly oscillating coefficients, 2020, ESAIM Mathematical Modelling and Numerical Analysis
  • Renormalized stochastic pressure equation with log-correlated Gaussian coefficients, 2025, Journal of Differential Equations

Frequent co-authors collaborating with Kuusi include:

  • Scott N. Armstrong
  • Benny Avelin
  • Patrik Nummi
  • Eero Saksman
  • Jonas M. Tölle

Kuusi's work has been published in various venues, with the most frequent being:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Communications on Pure and Applied Mathematics
  • ESAIM Mathematical Modelling and Numerical Analysis
  • Archive for Rational Mechanics and Analysis

The main fields of study in their research are:

  • Mathematics
  • Computer Science

Subfields include:

  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Mechanics of Materials

Kuusi's main topics of work cover:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Numerical Methods in Inverse Problems
  • Geometric Analysis and Curvature Flows
  • Advanced Mathematical Physics Problems
  • Advanced Numerical Methods in Computational Mathematics
  • Composite Material Mechanics

Best Publications

  • Nonlocal Harnack inequalities

    Agnese Do Castro;Tuomo Kuusi;Giampiero Palatucci;Giampiero Palatucci

  • Nonlocal Equations with Measure Data

    Tuomo Kuusi;Giuseppe Mingione;Yannick Sire

  • Guide to Nonlinear Potential Estimates

    Tuomo Kuusi;Giuseppe Mingione

  • Quantitative Stochastic Homogenization and Large-Scale Regularity

    Scott Armstrong;Tuomo Kuusi;Jean-Christophe Mourrat

  • Universal potential estimates

    Tuomo Kuusi;Giuseppe Mingione

  • Local behavior of fractional p-minimizers

    Agnese Di Castro;Tuomo Kuusi;Giampiero Palatucci

  • Linear potentials in nonlinear potential theory

    Tuomo Kuusi;Giuseppe Mingione

  • Local behavior of fractional $p$-minimizers

    Agnese Di Castro;Tuomo Kuusi;Giampiero Palatucci

  • Vectorial nonlinear potential theory

    Tuomo Kuusi;Giuseppe Mingione

  • Nonlocal self-improving properties

    Tuomo Kuusi;Giuseppe Mingione;Yannick Sire

  • The Wolff gradient bound for degenerate parabolic equations

    Tuomo Kuusi;Giuseppe Mingione

  • Nonlinear Calderón-Zygmund Theory in the Limiting Case

    Benny Avelin;Tuomo Kuusi;Giuseppe Mingione

  • Brain metabolic alterations in adolescents and young adults with fetal alcohol spectrum disorders.

    Åse Fagerlund;Sami Heikkinen;Ilona Autti-Rämö;Marit Korkman;Marit Korkman

  • A nonlinear Stein theorem

    Tuomo Kuusi;Giuseppe Mingione

  • Local behaviour of solutions to doubly nonlinear parabolic equations

    Juha Kinnunen;Tuomo Kuusi

  • Gradient regularity for nonlinear parabolic equations

    Tuomo Kuusi;Giuseppe Mingione

  • The obstacle problem for nonlinear integro-differential operators

    Janne Korvenpää;Tuomo Kuusi;Giampiero Palatucci

  • The additive structure of elliptic homogenization

    Scott Armstrong;Scott Armstrong;Tuomo Kuusi;Jean Christophe Mourrat

  • Riesz Potentials and Nonlinear Parabolic Equations

    Tuomo Kuusi;Giuseppe Mingione

  • Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization

    Scott Armstrong;Tuomo Kuusi;Jean Christophe Mourrat

  • Superharmonic functions are locally renormalized solutions

    Tero Kilpeläinen;Tuomo Kuusi;Anna Tuhola-Kujanpää

  • Nonlocal equations with measure data

    Tuomo Kuusi;Giuseppe Mingione;Yannick Sire

Frequent Co-Authors

Giuseppe Mingione
Giuseppe Mingione University of Parma
Lars Diening
Lars Diening Bielefeld University
Andrea Cianchi
Andrea Cianchi University of Florence
Edward P. Riley
Edward P. Riley San Diego State University
Tarja Porkka-Heiskanen
Tarja Porkka-Heiskanen University of Helsinki
Petteri Harjulehto
Petteri Harjulehto University of Helsinki

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