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pro vyhledávání: '"Taylor Mitchell"'
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding different notions of bases in Banach spaces and lattices. For the case of Bana
Externí odkaz:
http://arxiv.org/abs/2406.11223
Autor:
Taylor Mitchell
Publikováno v:
Limina: A Journal of Historical and Cultural Studies, Pp 27-1 (2021)
Externí odkaz:
https://doaj.org/article/41df4cb62207426c93e1bc6acf72ae64
Autor:
Pineau, Ben, Taylor, Mitchell A.
We present a novel method for establishing large data local well-posedness in low regularity Sobolev spaces for general quasilinear Schr\"odinger equations with non-degenerate and nontrapping metrics. Our result represents a definitive improvement ov
Externí odkaz:
http://arxiv.org/abs/2310.19221
We provide a complete local well-posedness theory in $H^s$ based Sobolev spaces for the free boundary incompressible Euler equations with zero surface tension on a connected fluid domain. Our well-posedness theory includes: (i) Local well-posedness i
Externí odkaz:
http://arxiv.org/abs/2309.05625
Autor:
Taylor, Mitchell A.1,2 (AUTHOR), Plampton, Katherine3 (AUTHOR), High, Robin4 (AUTHOR), Wysong, Ashley2 (AUTHOR), Sutton, Adam2 (AUTHOR) adam.sutton@unmc.edu
Publikováno v:
JEADV Clinical Practice. Aug2024, p1. 7p. 3 Charts.
Examples are constructed of infinite-dimensional subspaces $V\subset L^2(\mu)$ with the property that for any $f,g\in V$, if $|f|$ is approximately equal to $|g|$ with respect to the $L^2$ norm, then there exists a unimodular scalar $z$ such that $f$
Externí odkaz:
http://arxiv.org/abs/2205.00187
Autor:
Pineau, Ben, Taylor, Mitchell A.
We study the well-posedness of the generalized derivative nonlinear Schr\"odinger equation (gDNLS) $$iu_t+u_{xx}=i|u|^{2\sigma}u_x,$$ for small powers $\sigma$. We analyze this equation at both low and high regularity, and are able to establish globa
Externí odkaz:
http://arxiv.org/abs/2112.04648
Autor:
Gollapudi, Kranthi Kumar, Dutta, Sayan Deb, Adnan, Md., Taylor, Mitchell Lee, Reddy, K.V.N. Suresh, Alle, Madhusudhan, Huang, Xiaohua
Publikováno v:
In International Journal of Biological Macromolecules November 2024 280 Part 4
We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions. This closes the existence/non-existence problem for solitary water waves in 2D, under the classical assumptions of incompressibility and irrotationalit
Externí odkaz:
http://arxiv.org/abs/2104.07845
Autor:
Jardón-Sánchez, Héctor, Laustsen, Niels Jakob, Taylor, Mitchell A., Tradacete, Pedro, Troitsky, Vladimir G.
We prove the existence of free objects in certain subcategories of Banach lattices, including $p$-convex Banach lattices, Banach lattices with upper $p$-estimates, and AM-spaces. From this we immediately deduce that projectively universal objects exi
Externí odkaz:
http://arxiv.org/abs/2101.03510