Irina Mitrea

The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains

Irina Mitrea, Marius Mitrea · Transactions of the American Mathematical Society · 2007 · 62 citations · Full text

Besov Spaces, Dirichlet Form, Elliptic Equation +9

Extending Sobolev functions with partially vanishing traces from locally<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi>ε</mml:mi><mml:mo>,</mml:mo><mml:mi>δ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-domains and applications to mixed boundary problems

Kevin Brewster, Dorina Mitrea, Irina Mitrea et al. · Journal of Functional Analysis · 2014 · 58 citations

Numerical Analysis, Spectral Theory, Elliptic Equation +7

Hodge decompositions with mixed boundary conditions and applications to partial differential equations on lipschitz manifolds

Vladimir Gol’dshtein, Irina Mitrea, Marius Mitrea · Journal of Mathematical Sciences · 2010 · 42 citations

Geometric Partial Differential Equation, Free Boundary Problem, Mixed Boundary Conditions +5

On the Regularity of Green Functions in Lipschitz Domains

Dorina Mitrea, Irina Mitrea · Communications in Partial Differential Equations · 2010 · 34 citations

Dirichlet Form, Elliptic Equation, Riemann-hilbert Problem +7

The mixed problem for the Lamé system in a class of Lipschitz domains

R. M. Brown, Irina Mitrea · Journal of Differential Equations · 2009 · 31 citations

Calculus Of Variation, Riemann-hilbert Problem, Singularly Perturbed Problem +6