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20042008
most citedThe Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients

7 citations · 12 across the 7 of their papers we have counts for

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math.AP2008

Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

Fritz Gesztesy, Marius Mitrea

We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains in , $n\ge…

math.AP2008

Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

Fritz Gesztesy, Marius Mitrea

We study Robin-to-Robin maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains in , , with generalized Robin boundary condit…

math.AP20077 cited

The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients

Vladimir Maz'ya, Marius Mitrea, Tatyana Shaposhnikova

We study the Dirichlet problem in Lipschitz domains and with boundary data in Besov spaces, for divergence form strongly elliptic systems of arbitrary order, with bounded, complex-…

math.AP20053 cited

The Dirichlet problem in Lipschitz domains with boundary data in Besov spaces for higher order elliptic systems with rough coefficients

Vladimir Maz'ya, Marius Mitrea, Tatyana Shaposhnikova

We settle the issue of well-posedness for the Dirichlet problem for a higher order elliptic system with complex-valued, bounded, measurable coefficients in a…

math.AP2004

Lipschitz domains, domains with corners and the Hodge Laplacian

Marius Mitrea, Michael Taylor, Andras Vasy

We define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and…