Výsledky vyhledávání - "Ott, Katharine A."

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Estimates for more Brascamp-Lieb forms in $L^p$-spaces with power weights

Autor: Brown, Russell M., Ott, Katharine A.

We consider a class of Brascamp-Lieb forms and give conditions which guarantee the boundedness of these form on $L^p$-spaces with weights that are a power of the distance to the origin. These conditions are close to necessary and sufficient.

Externí odkaz: http://arxiv.org/abs/2306.12342

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Estimates for Brascamp-Lieb forms in $L^p$ spaces with power weights

Autor: Brown, Russell M., Lee, Carl W., Ott, Katharine A.

We establish a set of necessary conditions and a set of sufficient conditions for boundedness of a family of Brascamp-Lieb forms in Lorentz spaces and $L^p$-spaces with power weights. The conditions are close to optimal.
Comment: 15 pages, updat

Externí odkaz: http://arxiv.org/abs/1807.07040

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The mixed problem for the Lam\'e system in two dimensions

Autor: Ott, Katharine A., Brown, Russell M.

Publikováno v: J. Diff. Equations, 254 (2013), 4373-4400

We consider the mixed problem for $L$ the Lam\'e system of elasticity in a bounded Lipschitz domain $ \Omega\subset\reals ^2$. We suppose that the boundary is written as the union of two disjoint sets, $\partial\Omega =D\cup N$. We take traction data

Externí odkaz: http://arxiv.org/abs/1211.3655

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The mixed problem in Lipschitz domains with general decompositions of the boundary

Autor: Taylor, Justin L., Ott, Katharine A., Brown, Russell M.

Publikováno v: Trans. Amer. Math. Soc., 365 (2013), 2895-2930

This paper continues the study of the mixed problem for the Laplacian. We consider a bounded Lipschitz domain $\Omega\subset \reals^n$, $n\geq2$, with boundary that is decomposed as $\partial\Omega=D\cup N$, $D$ and $N$ disjoint. We let $\Lambda$ den

Externí odkaz: http://arxiv.org/abs/1111.1468

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The mixed problem for the Laplacian in Lipschitz domains

Autor: Ott, Katharine A., Brown, Russell M.

Publikováno v: Potential analysis, 38 (2013), 1333-1364 (reference is for the original paper)

We consider the mixed boundary value problem or Zaremba's problem for the Laplacian in a bounded Lipschitz domain in R^n. We specify Dirichlet data on part of the boundary and Neumann data on the remainder of the boundary. We assume that the boundary

Externí odkaz: http://arxiv.org/abs/0909.0061

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