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pro vyhledávání: '"Jeffrey J. Langford"'
Autor:
Jeffrey J. Langford
Publikováno v:
Canadian Journal of Mathematics. 75:108-139
We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data has been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the sy
Publikováno v:
Mathematische Annalen.
Autor:
Barbara Brandolini, Robert G. Smits, Thomas Beck, Simon Larson, Jeffrey J. Langford, Krzysztof Burdzy, Stefan Steinerberger, Antoine Henrot
Publikováno v:
The Journal of Geometric Analysis
The Journal of Geometric Analysis, Springer, In press, ⟨10.1007/s12220-019-00300-5⟩
The Journal of Geometric Analysis, Springer, In press, ⟨10.1007/s12220-019-00300-5⟩
Let $\Omega \subset \mathbb{R}^n$ be a convex domain and let $f:\Omega \rightarrow \mathbb{R}$ be a positive, subharmonic function (i.e. $\Delta f \geq 0$). Then $$ \frac{1}{|\Omega|} \int_{\Omega}{f dx} \leq \frac{c_n}{ |\partial \Omega| } \int_{\pa
Publikováno v:
Bulletin of the London Mathematical Society. 49:480-490
We give upper bounds on the principal Dirichlet eigenvalue associated to a smoothly bounded domain in a complete Riemannian manifold; the bounds involve L1-norms of exit time moments of Brownian motion. Our results generalize a classical inequality o
Autor:
Jeffrey J. Langford, L. M. Chasman
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 195:1977-2005
In this paper, we study the analogue in Gauss space of Lord Rayleigh’s conjecture for the clamped plate. We show that the first eigenvalue of the bi-Hermite operator in a bounded domain is bounded below by a constant $$C_V$$ times the corresponding
Autor:
Jeffrey J. Langford
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :1025-1063
In this paper, we compare the solutions of two PDEs with Neumann boundary conditions, one with given initial data and one with cap symmetrized data. We show that the solution with cap symmetrized data is itself cap symmetrized and exhibits larger con
Let $gamma$ be a smooth, non-closed, simple curve whose image is symmetric with respect to the $y$-axis, and let $D$ be a planar domain consisting of the points on one side of $gamma$, within a suitable distance $delta$ of $gamma$. Denote by $mu_1^{o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b15dcffd7605c1e1a01a11f165202565
http://hdl.handle.net/10447/493959
http://hdl.handle.net/10447/493959
Autor:
Jeffrey J. Langford
Publikováno v:
Potential Analysis. 43:415-459
In this paper we prove a spherical comparison result for the (k,n)−spherical rearrangement using the spherical Green’s function and a rearrangement inequality of A. Baernstein. We next use a simple reflection argument to obtain a Neumann comparis
Using the Fourier transform, we obtain upper bounds for sums of eigenvalues of the free plate.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9907505941cf123b899976e36e95b2a
Autor:
Jeffrey J. Langford
Publikováno v:
Differential Integral Equations 29, no. 5/6 (2016), 493-512
In this paper, we compare the solutions of two Poisson PDE's in cylinders with Neumann boundary conditions, one with given initial data and one with data arranged decreasing in the $y-$direction. When the solutions are normalized to have zero mean, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c79094bda82f50daf403f09de7b30d34
http://projecteuclid.org/euclid.die/1457536888
http://projecteuclid.org/euclid.die/1457536888