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Mathematics

D-Index
48
Citations
6961
World Ranking
1223
National Ranking
542

Research.com Recognitions

  • 2021 - Fellow of the American Mathematical Society For contributions to partial differential equations and related subjects.

Overview

Marius Mitrea is affiliated with Baylor University in the United States and has an extensive research portfolio primarily in the field of Mathematics. Their work spans several subfields including Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Computational Mechanics, and Geometry and Topology.

The main topics of their research encompass:

  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Boundary Problems
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Numerical Methods in Inverse Problems

Marius Mitrea has contributed to a wide range of publications, some recent papers include:

  • The ^{} Dirichlet boundary problem for second order elliptic Systems with rough coefficients, 2020, Transactions of the American Mathematical Society
  • Extension and Representation of Divergence-free Vector Fields on Bounded Domains, 2021, UNC Libraries
  • A Sharp Divergence Theorem with Nontangential Traces, 2020, Notices of the American Mathematical Society
  • Sharp Boundary Trace Theory and Schrödinger Operators on Bounded Lipschitz Domains, 2025, Memoirs of the American Mathematical Society
  • Multilayer potentials for higher-order systems in rough domains, 2021, Analysis & PDE

The researcher frequently publishes in venues such as UNC Libraries, Memoirs of the American Mathematical Society, Transactions of the American Mathematical Society, Analysis & PDE, and Notices of the American Mathematical Society.

Regarding collaborations, Marius Mitrea has coauthored multiple works with the following frequent collaborators:

  • Dorina Mitrea
  • Irina Mitrea
  • Juan Marín
  • José María Martell
  • Michael Taylor

In addition to articles, Marius Mitrea has several book publications. Notably, Springer Nature has published five volumes titled "Geometric Harmonic Analysis I" through "Geometric Harmonic Analysis V" between 2022 and 2023. Birkhäuser also published the book "Singular Integral Operators, Quantitative Flatness, and Boundary Problems" in 2022.

Recognizing their contributions, Marius Mitrea was awarded the Fellow of the American Mathematical Society in 2021 for contributions to partial differential equations and related subjects.

Best Publications

  • Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

    Steve Hofmann;Guozhen Lu;Dorina Mitrea;Marius Mitrea

  • Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains

    Eugene Fabes;Osvaldo Mendez;Marius Mitrea

  • Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds

    Dorina Mitrea;Marius Mitrea;Michael Taylor

  • Clifford Wavelets, Singular Integrals, and Hardy Spaces

    Marius Mitrea

  • Boundary layer methods for Lipschitz domains in Riemannian manifolds

    Marius Mitrea;Michael Taylor

  • Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains

    Steve Hofmann;Marius Mitrea;Michael Taylor

  • Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem

    Marius Mitrea;Michael Taylor

  • Stability results on interpolation scales of quasi-Banach spaces and applications

    Nigel Kalton;Marius Mitrea;Marius Mitrea

  • Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering

    Dorina Mitrea;Marius Mitrea;Jill Pipher

  • Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

    Fritz Gesztesy;Marius Mitrea

  • Navier-Stokes equations on Lipschitz domains in Riemannian manifolds

    Marius Mitrea;Michael Taylor

  • A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains

    Fritz Gesztesy;Marius Mitrea

  • Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin Spaces and Applications to Problems in Partial Differential Equations

    Unknown

  • Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains

    Steve Hofmann;Marius Mitrea;Michael Taylor

  • The Stationary Navier-Stokes System in Nonsmooth Manifolds: The Poisson Problem in Lipschitz and C 1 Domains

    Martin Dindoŝ;Marius Mitrea

  • Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities

    Fritz Gesztesy;Marius Mitrea

  • Spectral theory for perturbed Krein Laplacians in nonsmooth domains

    Mark S. Ashbaugh;Fritz Gesztesy;Marius Mitrea;Gerald Teschl

  • Non-self-adjoint operators, infinite determinants, and some applications

    Fritz Gesztesy;Yuri Latushkin;Marius Mitrea;Maxim Zinchenko

  • Boundary Value Problems and Hardy Spaces Associated to the Helmholtz Equation in Lipschitz Domains

    Marius Mitrea

  • The dirichlet problem in lipschitz domains for higher order elliptic systems with rough coefficients

    Vladimir. Maz’ya;Vladimir. Maz’ya;Vladimir. Maz’ya;Marius Mitrea;Tatyana Shaposhnikova;Tatyana Shaposhnikova

  • Clifford algebras and Maxwell's equations in Lipschitz domains

    Alan McIntosh;Marius Mitrea

  • A Description of All Self-Adjoint Extensions of the Laplacian and Krein-Type Resolvent Formulas on Nonsmooth Domains

    Fritz Gesztesy;Marius Mitrea

Frequent Co-Authors

Fritz Gesztesy
Fritz Gesztesy Baylor University
Michael Taylor
Michael Taylor University of North Carolina at Chapel Hill
Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Steve Hofmann
Steve Hofmann University of Missouri
Gerald Teschl
Gerald Teschl University of Vienna
José María Martell
José María Martell Institute of Mathematical Sciences
András Vasy
András Vasy Stanford University
Nigel J. Kalton
Nigel J. Kalton University of Missouri
Eugene B. Fabes
Eugene B. Fabes University of Minnesota
Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara

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