Faculty & Staff
Irina Mitrea
Publications
Peer-Reviewed (Refereed) Journal Articles
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Spectral Theory and Iterative Methods for the Maxwell System in Nonsmooth Domains, with K. Ott, to appear in Mathematische Nachrichten (2010).
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Mixed Boundary Value Problems for the Stokes System, with R. Brown, M. Mitrea, and M. Wright, Transactions of the American Mathematical Society, 362 (2010) 1211-1230.
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On the Interplay between several complex variables, geometric measure theory and harmonic analysis, with M. Mitrea and M-C. Shaw, to appear in Revue Roumaine de Mathematiques Pures et Appliquees (2010).
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Coercive energy estimates for differential forms in semi-convex domains, with D. Mitrea, M. Mitrea, and L. Yan, to appear in Communications on Pure and Applied Analysis, (2010).
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On the regularity of the Green Potential for the Laplacian with Robin boundary condition, with D. Mitrea, Integral Methods in Science and Engineering, Volume 1, Analytic Methods, Birkauser Boston, (2009), 235-243.
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On the Dirichlet and Regularity Problems for the Bi-Laplacian in Lipschitz Domains, with M. Mitrea, Integral Methods in Science and Engineering, Volume 1, Analytic Methods, Birkauser Boston, (2009), 245-254.
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On the regularity of differential forms satisfying mixed boundary conditions in a class of Lipschitz domains, with T. Jakab and M. Mitrea, Indiana University Mathematics Journal 58 No. 5 (2009), 2043–2072.
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Mapping Properties of Layer Potentials associated with Higher Order Elliptic Operators in Lipschitz Domains, Operator Theory: Advances and Applications, Vol. 203 (2009), 363--407.
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The mixed problem for the Lame system in a class of Lipschitz domains, with R. Brown, Journal of Differential Equations, 246 (2009), 2577-2589.
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A Remark on the Regularity of the Div-Curl System, with M. Mitrea, Proceedings of the American Mathematical Society, 137 (2009), no. 5, 1729-1733.
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Sobolev Estimates for the Green Potential Associated with the Robin-Laplacian in Lipschitz Domains Satisfying a Uniform Exterior Ball Condition, with T. Jakab and M. Mitrea, Sobolev Spaces in Mathematics II, International Mathematical Series, Vol. 9, Springer Verlag, (2008), 227-260.
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Interval Analysis Techniques for Boundary Value Problems of Elasticity in Two Dimensions, with W. Tucker, Journal of Differential Equations, 233 (2007), 181-198.
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The Poisson Problem with Mixes Boundary Conditions in Sobolev and Besov Spaces in Non-Smooth Domains, with M. Mitrea, Transactions of the American Mathematical Society, 359 (2007), 4143-4182.
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Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications with compensated compactness and the theory of Hardy and Bergman type spaces, with T. Jakab and M. Mitrea, Journal of Functional Analysis, 246 (2007), 50-112.
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Electromagnetic scattering from perturbed surfaces, with K. Ott, Mathematical Methods in the Applied Sciences, 30 (2007), 861-876.
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Counterexamples to the well-posedness of Lp transmission boundary value problems for the Laplacian, with K. Ott, Proceedings of the American Mathematical Society, 135 (2007), 2037-2043.
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A Weakly Singular Integral Formulation for Displacement Prescribed Problems of Elasticity, with S. S. Kulkarni and S. Mukherjee, Acta Mechanica, Vol 176 (2005), 27-44.
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Boundary problems for harmonic functions and norm estimates for inverses of singular integrals in two dimensions, Numerical Functional Analysis and Optimization, 26 (2005) no. 7-8, 851-878.
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The Dirichlet problem for elliptic systems in multiconnected rough regions, with S. S. Kulkarni and S. Mukherjee, Applicable Analysis, 84 (2005), no. 10, 971-988.
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On the traction problem for the Lame system on curvilinear polygons, Journal of Integral Equations and Applications, 16 (2004), no. 2, 175-218.
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Some Counterexamples for the Spectral Radius Conjecture, with W. Tucker, Differential and Integral Equations, 16 (2003), no. 12, 1409-1439.
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On the Besov regularity of conformal maps and layer potentials on nonsmooth domains, with D. Mitrea, Journal of Functional Analysis, 201 (2003), 380-429.
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On the spectra of elastostatic and hydrostatic layer potentials on curvilinear polygons, Journal of Fourier Analysis and Applications, 8 (2002), no. 5, 443-487.
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Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains, Journal of Fourier Analysis and Applications, 5 (1999), no. 4, 385-408.
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On the boundedness of Singular Integrals, with E. Fabes and M. Mitrea, Pacific Journal of Mathematics, 189 (1999), no. 1, 21-29.
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Monogenic Hardy spaces on Lipschitz domains and compensated compactness, with M. Mitrea, Complex Variables Theory and Application, 35 (1998), no. 3, 225-282.