World's Best Scientists 2026 revealed!
Vladimir Maz'ya

Vladimir Maz'ya

Award Badge
Mathematics
Sweden
2026

D-Index & Metrics

Mathematics

D-Index
52
Citations
12967
World Ranking
948
National Ranking
8

Research.com Recognitions

  • 2026 - Research.com Mathematics in Sweden Leader Award
  • 2025 - Research.com Mathematics in Sweden Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2001 - Fellow of the Royal Society of Edinburgh

Overview

Vladimir Maz'ya is affiliated with Linköping University in Sweden. Their research spans multiple fields including Mathematics, Engineering, and Computer Science, with a predominant focus on Applied Mathematics, Mathematical Physics, and Computational Theory and Mathematics. Their work also touches on specialties such as Mechanics of Materials and Control and Systems Engineering.

The research topics frequently addressed by Vladimir Maz'ya encompass:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Numerical methods in inverse problems
  • Differential Equations and Boundary Problems
  • Stability and Controllability of Differential Equations
  • Spectral Theory in Mathematical Physics
  • Advanced Mathematical Physics Problems

The scientist has published extensively in academic venues, with the most frequent publication platforms being:

  • arXiv (Cornell University)
  • Journal of Mathematical Sciences
  • St Petersburg Mathematical Journal
  • Applicable Analysis
  • Archive for Rational Mechanics and Analysis

Recent papers authored or co-authored by Vladimir Maz'ya include:

  • On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions, 2021, St Petersburg Mathematical Journal
  • Boyarsky-Meyers Estimate for Solutions to Zaremba Problem, 2022, Archive for Rational Mechanics and Analysis
  • Global second-order estimates in anisotropic elliptic problems, 2025, Proceedings of the London Mathematical Society
  • Fast computation of elastic and hydrodynamic potentials using approximate approximations, 2020, Analysis and Mathematical Physics
  • Approximation of Solutions to Equations in Static Thermoelasticity, 2022, Journal of Mathematical Sciences

Vladimir Maz'ya has collaborated repeatedly with several co-authors, notably:

  • Flavia Lanzara
  • G. Schmidt
  • Andrea Cianchi
  • Alberto Cialdea
  • Maxim Braverman

The scientist has published at least one book with Springer Nature, titled Fast Computation of Volume Potentials by Approximate Approximations, scheduled for 2025.

Awards received include:

  • Fellow of the Royal Society of Edinburgh, 2001
  • Fellow of the American Mathematical Society, 2013

Best Publications

  • Sobolev Spaces: with Applications to Elliptic Partial Differential Equations

    Vladimir Maz'ya

  • Elliptic boundary value problems in domains with point singularities

    V. A. Kozlov;Vladimir G. Maz'ya;J. Rossmann

  • Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I

    Unknown

  • An iterative method for solving the Cauchy problem for elliptic equations

    V. A. Kozlov;V. G. Maz'ya;A. F. Fomin

  • Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations

    V. Kozlov;V. Maz’ya;J. Rossmann

  • Theory of multipliers in spaces of differentiable functions

    V G Maz'ya;T O Shaposhnikova

  • On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces

    V. Maz'ya;T. Shaposhnikova

  • NON-LINEAR POTENTIAL THEORY

    V G Maz'ya;V P Khavin

  • Differentiable Functions on Bad Domains

    Vladimir G Maz'ya;Sergei V Poborchi

  • Linear Water Waves: A Mathematical Approach

    N Kuznetsov;V Maz’ya;B Vainberg;J Miles

  • On approximate approximations using Gaussian kernels

    Vladimir Maz'ya;Gunther Schmidt

  • Boundary Integral Equations

    V. G. Maz’ya

  • Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations

    Andrea Cianchi;Vladimir G. Mazya

  • Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems

    Andrea Cianchi;Vladimir G. Maz’ya;Vladimir G. Maz’ya

  • Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations

    Vladimir Kozlov;Vladimir Maz'ya

  • ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES

    Unknown

  • Criteria of solvability for multidimensional Riccati equations

    Kurt Hansson;Vladimir G. Maz'ya;Igor E. Verbitsky

  • Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers

    Vladimir G Maz'ya;Igor E Verbitsky

  • The Schrödinger operator on the energy space: boundedness and compactness criteria

    Vladimir G. Maz'ya;Igor E. Verbitsky

  • Elliptic Boundary Value Problems

    Unknown

  • Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems

    Andrea Cianchi;Vladimir G. Maz'ya

  • Critical Hardy–Sobolev inequalities

    S. Filippas;V. Maz'ya;V. Maz'ya;A. Tertikas

  • On ship waves

    V.G. Maz'ya;B.R. Vainberg

  • Analytic function theory

    Vladimir Maz’ya;Tatyana Shaposhnikova

Frequent Co-Authors

Alexander Movchan
Alexander Movchan University of Liverpool
Andrea Cianchi
Andrea Cianchi University of Florence
Marius Mitrea
Marius Mitrea Baylor University
Peter Kuchment
Peter Kuchment Texas A&M University
Victor A. Galaktionov
Victor A. Galaktionov University of Bath
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Alexander Komech
Alexander Komech University of Vienna
Jean Van Schaftingen
Jean Van Schaftingen Université Catholique de Louvain

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