M. Mitrea

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 31 papers; trusts 51 researchers and is trusted by 46 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 169 citations into it; #288 of 7,620 by trust here, #208 by citations
• Mathematical Physics — 145 citations into it; #524 of 8,562 by trust here, #515 by citations
• Computational Theory and Mathematics — 100 citations into it; #918 of 12,182 by trust here, #822 by citations
• Numerical Analysis — 22 citations into it
• Computational Mechanics — 17 citations into it
• Geometry and Topology — 16 citations into it; #6,532 of 7,422 by trust here, #4,709 by citations
• Statistics and Probability — 12 citations into it; #12,574 of 12,932 by trust here, #10,855 by citations
• Mechanics of Materials — 5 citations into it

Whom M. Mitrea trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Michael Taylor
2. Giles Auchmuty
3. Fritz Gesztesy
4. S. Hofmann
5. D. Mitrea
6. Andrea Posilicano
7. Hans Triebel
8. Ian Wood
9. E. Stein
10. Wolfgang Arendt

Who trusts M. Mitrea overall

1. Fritz Gesztesy
2. Jussi Behrndt
3. Martin Dindos
4. D. Mitrea
5. Olaf Post
6. L. Roland Duduchava
7. S. Hofmann
8. A. Mazzucato
9. S. Hassi
10. M. Wright

Papers from M. Mitrea's perspective

Ordered by how strongly the researchers M. Mitrea trusts endorse each paper. Same corpus, a different order for every researcher.

1. Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem
2. Weakly Differentiable Functions
3. The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
4. Harmonic Analysis on Spaces of Homogeneous Type
5. The solution of the Kato problem in two dimensions
6. Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces
7. Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
8. Wavelets
9. Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
10. New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications

Their papers

• Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities (2008) — 84 citations
• Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds (2001) — 192 citations
• Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains (2009) — 153 citations
• Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schr\ (2008) — 56 citations
• The dirichlet problem in lipschitz domains for higher order elliptic systems with rough coefficients (2007) — 91 citations
• Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schr\ (2008) — 104 citations
• Navier-Stokes equations on Lipschitz domains in Riemannian manifolds (2001) — 148 citations
• Sharp estimates for green potentials on non-smooth domains (2004) — 49 citations
• The Stationary Navier-Stokes System in Nonsmooth Manifolds: The Poisson Problem in Lipschitz and C1 Domains (2004) — 130 citations
• Extending Sobolev Functions with Partially Vanishing Traces from Locally (epsilon,delta)-Domains and Applications to Mixed Boundary Problems (2012) — 51 citations
• The Poisson problem for the exterior derivative operator with Dirichlet boundary condition in nonsmooth domains (2008) — 70 citations
• A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009) — 120 citations
• Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory (2015) — 69 citations
• The method of layer potentials in Lp and endpoint spaces for elliptic operators with L∞ coefficients (2013) — 56 citations
• Multi-Layer Potentials and Boundary Problems: for Higher-Order Elliptic Systems in Lipschitz Domains (2013) — 79 citations
• $L^p$-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets (2013) — 48 citations
• On the regularity of domains satisfying a uniform hour–glass condition and a sharp version of the Hopf–Oleinik boundary point principle (2011) — 61 citations
• Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (2011) — 351 citations
• Hodge decompositions with mixed boundary conditions and applications to partial differential equations on lipschitz manifolds (2011) — 53 citations
• Boundary value problems for the Laplacian in convex and semiconvex domains (2010) — 53 citations