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Dorina Mitrea
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Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
S Hofmann, G Lu, D Mitrea, M Mitrea, L Yan
American Mathematical Society 214 (1007), 2011
3192011
Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
D Mitrea, M Mitrea, M Taylor
Memoirs of the American Mathematical Society 150 (713), 1-120, 2001
2222001
Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering
D Mitrea, M Mitrea, J Pipher
Journal of Fourier Analysis and Applications 3, 131-192, 1997
1561997
Distributions, partial differential equations, and harmonic analysis
D Mitrea
Springer, 2013
1172013
The Poisson problem for the exterior derivative operator with Dirichlet boundary condition on nonsmooth domains
D Mitrea, M Mitrea, S Monniaux
Communications on Pure and Applied Mathematics 7 (6), 1295-1333, 2008
792008
Differential operators and boundary value problems on hypersurfaces
LR Duduchava, D Mitrea, M Mitrea
Mathematische Nachrichten 279 (9‐10), 996-1023, 2006
642006
Extending Sobolev functions with partially vanishing traces from locally (ε, δ)-domains and applications to mixed boundary problems
K Brewster, D Mitrea, I Mitrea, M Mitrea
Journal of Functional Analysis 266 (7), 4314-4421, 2014
592014
The method of layer potentials for non-smooth domains with arbitrary topology
D Mitrea
Integral Equations and Operator Theory 29, 320-338, 1997
581997
Groupoid metrization theory: with applications to analysis on quasi-metric spaces and functional analysis
D Mitrea, I Mitrea, M Mitrea, S Monniaux
Springer Science & Business Media, 2012
572012
Boundary value problems for the Laplacian in convex and semiconvex domains
D Mitrea, M Mitrea, L Yan
Journal of Functional Analysis 258 (8), 2507-2585, 2010
462010
𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets
S Hofmann, D Mitrea, M Mitrea, A Morris
American Mathematical Society 245 (1159), 2017
452017
Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds
D Mitrea, M Mitrea
Journal of Functional Analysis 190 (2), 339-417, 2002
452002
Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems
XT Duong, S Hofmann, D Mitrea, M Mitrea, L Yan
Revista Matemática Iberoamericana 29 (1), 183-236, 2013
372013
On the regularity of Green functions in Lipschitz domains
D Mitrea, I Mitrea
Communications in Partial Differential Equations 36 (2), 304-327, 2010
362010
Traces of differential forms on Lipschitz domains, the boundary de Rham complex, and Hodge decompositions
D Mitrea, M Mitrea, MC Shaw
Indiana University mathematics journal, 2061-2095, 2008
322008
The Hodge-Laplacian, vol. 64 of De Gruyter Studies in Mathematics
D Mitrea, I Mitrea, M Mitrea, M Taylor
Boundary value problems on Riemannian manifolds. De Gruyter, Berlin, 2016
31*2016
The Dirichlet problem for elliptic systems with data in Köthe function spaces
JM Martell, D Mitrea, I Mitrea, M Mitrea
Revista Matemática Iberoamericana 32 (3), 913-970, 2016
242016
Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces
D Mitrea, I Mitrea, M Mitrea
Springer Nature, 2022
23*2022
On the Besov regularity of conformal maps and layer potentials on nonsmooth domains
D Mitrea, I Mitrea
Journal of Functional Analysis 201 (2), 380-429, 2003
232003
Variable coefficient transmission problems and singular integral operators on non-smooth manifolds
D Mitrea, M Mitrea, Q Shi
The Journal of Integral Equations and Applications 18 (3), 361-397, 2006
212006
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