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of 1 288
pro vyhledávání: '"35S05"'
Autor:
Prouff, Antoine
We prove a general version of Egorov's theorem for evolution propagators in the Euclidean space, in the Weyl--H\"ormander framework of metrics on the phase space. Mild assumptions on the Hamiltonian allow for a wide range of applications that we desc
Externí odkaz:
http://arxiv.org/abs/2412.04320
Autor:
Charão, Ruy Coimbra, Ikehata, Ryo
We consider damped wave equations with a potential and rotational inertia terms. We study the Cauchy problem for this model in the one dimensional Euclidean space and we obtain fast energy decay and L^2-decay of the solution itself as time goes to in
Externí odkaz:
http://arxiv.org/abs/2412.03091
Autor:
Csató, Gyula, Mas, Albert
We discuss the H\"older regularity of solutions to the semilinear equation involving the fractional Laplacian $(-\Delta)^s u=f(u)$ in one dimension. We put in evidence a new regularity phenomenon which is a combined effect of the nonlocality and the
Externí odkaz:
http://arxiv.org/abs/2412.02762
Autor:
Hassell, Andrew, Jia, Qiuye
In this article we consider the defocusing nonlinear Schr\"odinger equation, with time-dependent potential, in space dimensions $n=1, 2$ and $3$, with nonlinearity $|u|^{p-1} u$, $p$ an odd integer, satisfying $p \geq 5$ in dimension $1$, $p \geq 3$
Externí odkaz:
http://arxiv.org/abs/2411.16090
Autor:
Csató, Gyula, Mas, Albert
This paper deals with the behavior of the periodic Gagliardo seminorm under two types of rearrangements, namely under a periodic, and respectively a cylindrical, symmetric decreasing rearrangement. Our two main results are P\'olya-Szeg\H{o} type ineq
Externí odkaz:
http://arxiv.org/abs/2411.15308
Autor:
Cornean, Horia D., Purice, Radu
We continue the study of the perturbation problem discussed in \cite{CP3} and get rid of the 'slow variation' assumption by considering symbols of the form $a\big(x+\delta\,F(x),\xi\big)$ with $a$ a real H\"{o}rmander symbol of class $S^0_{0,0}(\math
Externí odkaz:
http://arxiv.org/abs/2411.14824
We consider periodic (pseudo)differential {elliptic operators of Schr\"odinger type} perturbed by weak magnetic fields not vanishing at infinity, and extend our previous analysis in \cite{CIP,CHP-2,CHP-4} to the case {of a semimetal having a finite f
Externí odkaz:
http://arxiv.org/abs/2411.14171
Autor:
Ledezma, Ángel Morán
In this work, we study the dynamics of complex systems with time-dependent transition rates, focusing on $p$-adic analysis in modeling such systems. Starting from the master equation that governs the stochastic dynamics of a system with a large numbe
Externí odkaz:
http://arxiv.org/abs/2411.03406
Autor:
Bernini, Federico, d'Avenia, Pietro
We introduce a fractional magnetic pseudorelativistic operator for a general fractional order $s\in(0,1)$. First we define a suitable functional setting and we prove some fundamental properties. Then we show the behavior of the operator as $s \nearro
Externí odkaz:
http://arxiv.org/abs/2410.22426
Autor:
Dencker, Nils
In this paper we prove solvability of quasilinear pseudodifferential operators with homogeneous principal symbol of real principal type.
Comment: 18 pages. arXiv admin note: substantial text overlap with arXiv:2403.19054
Comment: 18 pages. arXiv admin note: substantial text overlap with arXiv:2403.19054
Externí odkaz:
http://arxiv.org/abs/2409.19023