Irina Mitrea, Associate Professor of Mathematics


Contact Information

Research Interests:Harmonic Analysis, PDE's,
Geometric Measure Theory,
Complex Analysis, Validated Numerics
Mailing Address: Worcester Polytechnic Institute
Department of Mathematical Sciences
100 Institute Road
Worcester, MA 01609, USA
Office Location:305D Stratton Hall
E-mail Address: imitrea(at)wpi(dot)edu
Phone Number: (508) 831-5321
Fax Number:(508) 831-5824

Service and Outreach:

Teaching:

Teaching Awards and Fellowships:

Ph. D. Students and Postdocs:

List of publications:

  • Mapping Properties of Layer Potentials associated with Higher Order Elliptic Operators in Lipschitz Domains, Operator Theory: Advances and Applications, Vol. 203 (2009), 363-407.

  • 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).

  • The mixed problem for the Lamé system in a class of Lipschitz domains, with R. Brown Journal of Differential Equations, 246 (2009), 2577-2589.

  • 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.

  • 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.

  • 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.

  • Mixed Boundary Value Problems for the Stokes System, with R. Brown, M. Mitrea, and M. Wright, to appear in Transactions of the American Mathematical Society, (2008).

  • Traces of functions in Hardy and Besov spaces on Lipschitz domains with applications to 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.

  • Electromagnetic scattering from perturbed surfaces, with K. Ott , Mathematical Methods in the Applied Sciences 30 (2007), 861-876.

  • Interval Analysis Techniques for Boundary Value Problems of Elasticity in Two Dimensions, with W. Tucker , Journal of Differential Equations, 233 (2007), 181-198.

  • 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.

  • 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.

  • The Poisson Problem with Mixed Boundary Conditions in Sobolev and Besov Spaces in Non-Smooth Domains, with M. Mitrea , Transactions of the American Mathematical Society 359 (2007), 4143-4182.

  • 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.  [psfile]   [pdffile]

  • A Weakly Singular Integral Formulation for Displacement Prescribed Problems of Two-dimensional Elasticity, with S. S. Kulkarni and S. Mukherjee, Acta Mechanica, Vol. 176 (2005), 27-44.  [psfile]   [pdffile]

  • Some Counterexamples for the Spectral Radius Conjecture, with W. Tucker, Differential and Integral Equations 16 (2003), no. 12, 1409-1439.  [psfile]   [pdffile]

  • On the traction problem for the Lamé system on curvilinear polygons, J. Integral Equations and Applications 16 (2004), no. 2, 175-218. [ psfile]   [pdffile]

  • On the Besov regularity of conformal maps and layer potentials on nonsmooth domains, with D. Mitrea, Journal of Functional Analysis 201 (2003), 380-429.  [psfile]   [pdffile]

  • On the spectra of elastostatic and hydrostatic layer potentials on curvilinear polygons, J. Fourier Anal. Appl. 8 (2002), no. 5, 443-487. [ psfile]   [pdffile]

  • Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains, J. Fourier Anal. Appl. 5 (1999), no. 4, 385--408. [ psfile]   [pdffile]

  • On the boundedness of singular integrals, with E. Fabes and M. Mitrea , Pacific Journal of Mathematics, 189 (1999), no. 1, 21--29. [ psfile]   [pdffile]

  • Monogenic Hardy spaces on Lipschitz domains and compensated compactness , with M.Mitrea Complex Variables Theory Appl., 35 (1998), no. 3, 225--282. [ psfile]   [pdffile]

Spectral pictures

Links:

E-JOURNALS (Mathematics and Statistics)
American Mathematical Society.
MathSciNet .
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