Irina Mitrea, Associate Professor of Mathematics
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| Research Interests: | Harmonic Analysis,
PDE's |
| Mailing Address: |
University of Virginia
Department of Mathematics
225 Kerchof Hall
Charlottesville, VA, USA
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| Office Location: | 225 Kerchof Hall
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| E-mail Address: |
im3p(at)virginia(dot)edu
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| Phone Number: |
(434) 982-2787 |
| Fax Number: | (434) 982-3084 |
Service and Outreach:
- F06 - S09:
Organizer of the University of Virginia Undergraduate Mathematics Lecture Series:
Teaching:
Teaching Awards and Fellowships:
Ph. D. Students and Postdocs:
List of publications:
- The mixed problem for the Lamé system in a class
of Lipschitz domains, with
R. Brown, to appear in Journal of Differential Equations, (2008).
- On the regularity of differential forms satisfying
mixed boundary conditions in a class of Lipschitz domains, with
T. Jakab and
M. Mitrea, to appear
in Indiana University Mathematics Journal, (2008).
- 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, to appear in
Sobolev Spaces in Mathematics II,
International Mathematical Series, Vol. 9, Springer Verlag, (2008).
- A Remark on the Regularity of the Div-Curl System,
with
M. Mitrea, to appear in
Proceedings of the American Mathematical Society, (2008).
- 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.
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[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.
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[pdffile]
- 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 traction problem for the Lamé system on curvilinear polygons, J. Integral Equations and Applications 16 (2004),
no. 2, 175-218. [
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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, J. Fourier Anal. Appl. 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, J. Fourier Anal. Appl. 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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[pdffile]
- Monogenic Hardy spaces on Lipschitz domains and compensated compactness , with M.Mitrea
Complex Variables Theory Appl., 35 (1998), no. 3, 225--282. [
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Spectral pictures
Links:
E-JOURNALS (Mathematics and Statistics)
American Mathematical Society.
MathSciNet .
Mathematics Information Servers .
