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pro vyhledávání: '"Hatcher, Lawford"'
Autor:
Hatcher, Lawford
We prove that on convex domains, first mixed Laplace eigenfunctions have no interior critical points if the Dirichlet region is connected and sufficiently small. We also find two seemingly new estimates on the first mixed eigenvalue to give explicit
Externí odkaz:
http://arxiv.org/abs/2409.03908
Autor:
Hatcher, Lawford
We give an elementary new proof of the hot spots conjecture for L-shaped domains. This result, in addition to a new eigenvalue inequality, allows us to locate the hot spots in Swiss cross translation surfaces. We then prove, in several cases, that fi
Externí odkaz:
http://arxiv.org/abs/2405.19508
Autor:
Hatcher, Lawford
The hot spots conjecture of J. Rauch states that the second Neumann eigenfunction of the Laplace operator on a bounded Lipschitz domain in $\mathbb{R}^n$ attains its extrema only on the boundary of the domain. We present an analogous problem for doma
Externí odkaz:
http://arxiv.org/abs/2401.01514
Autor:
Bongarti, Marcelo, Galvan, Luke Diego, Hatcher, Lawford, Lindstrom, Michael R, Parkinson, Christian, Wang, Chuntian, Bertozzi, Andrea L
Publikováno v:
Mathematical Models and Methods in Applied Sciences, vol 32, iss 10
In this paper, we use modified versions of the SIAR model for epidemics to propose two ways of understanding and quantifying the effect of non-compliance to non-pharmaceutical intervention measures on the spread of an infectious disease. The SIAR mod