Zobrazeno 1 - 10
of 862
pro vyhledávání: '"34A12"'
Autor:
Pinaud, Matthieu F.
For $p\in [1,\infty]$, we define a smooth manifold structure on the set of absolutely continuous functions $\gamma\colon [a,b]\to N$ with $L^p$-derivatives for each smooth manifold $N$ modeled on a sequentially complete locally convex topological vec
Externí odkaz:
http://arxiv.org/abs/2409.06512
Autor:
Kruse, Karsten, Schwenninger, Felix L.
We study maximal regularity with respect to continuous functions for strongly continuous semigroups on locally convex spaces as well as its relation to the notion of admissible operators. This extends several results for classical strongly continuous
Externí odkaz:
http://arxiv.org/abs/2408.11437
Autor:
Choi, Brian
We study the formation of breathers in multi-dimensional lattices with nonlocal coupling that decays algebraically. By variational methods, the exact relationship between various parameters (dimension, nonlinearity, nonlocal parameter $\alpha$) that
Externí odkaz:
http://arxiv.org/abs/2408.11177
We study a discrete model for generalized exchange-driven growth in which the particle exchanged between two clusters is not limited to be of size one. This set of models include as special cases the usual exchange-driven growth system and the coagul
Externí odkaz:
http://arxiv.org/abs/2408.00345
Autor:
Arora, Sumit, Nandakumaran, Akambadath
The current study addresses the control problems posed by a semilinear neutral integro-differential equation with memory. The primary objectives of this study are to investigate the existence of a mild solution and approximate controllability of both
Externí odkaz:
http://arxiv.org/abs/2407.07886
We construct a smooth Banach manifold BV$([a,b], M)$ whose elements are suitably-defined functions $f:[a,b] \rightarrow M$ of bounded variation with values in a smooth Banach manifold $M$ which admits a local addition. If the target manifold is a Ban
Externí odkaz:
http://arxiv.org/abs/2407.05190
Autor:
Guiver, Chris
A suite of input-to-state stability results are presented for a class of forced differential inclusions, so-called Lur'e inclusions. As a consequence, semi-global incremental input-to-state stability results for systems of forced Lur'e differential e
Externí odkaz:
http://arxiv.org/abs/2406.15099
Autor:
Beauduin, Kei
In this paper, we derive formal general formulas for noncommutative exponentiation and the exponential function, while also revisiting an unrecognized, and yet powerful theorem. These tools are subsequently applied to derive counterparts for the expo
Externí odkaz:
http://arxiv.org/abs/2405.03001
Autor:
Pitcho, Jules
The purpose of this work is to demonstrate that the lack of selection by smooth regularisation for the continuity equation with a bounded, divergence-free vector field as demonstrated in \cite{DeLellis_Giri22} by De Lellis and Giri takes place over a
Externí odkaz:
http://arxiv.org/abs/2404.19687
Autor:
Sakhnovich, Lev
Ordinary differential equations of the first order on the torus have been investigated in detail by H. Poincar\'e and A. Denjoy. The long-standing problem of generalising these results for the equations of the order $k>1$ (or for the systems of equat
Externí odkaz:
http://arxiv.org/abs/2404.15887