Zobrazeno 1 - 10
of 24
pro vyhledávání: '"35J10, 35B40"'
Autor:
Filonov, N. D., Krymskii, S. T.
The equation $- \Delta u + V u = 0$ in the cylinder $\mathbb{R} \times (0,2\pi)^d$ with periodic boundary conditions is considered. The potential $V$ is assumed to be bounded, and both functions $u$ and $V$ are assumed to be real-valued. It is shown
Externí odkaz:
http://arxiv.org/abs/2311.14491
Autor:
Davey, Blair, Isralowitz, Joshua
In this article, we investigate systems of generalized Schr\"odinger operators and their fundamental matrices. More specifically, we establish the existence of such fundamental matrices and then prove sharp upper and lower exponential decay estimates
Externí odkaz:
http://arxiv.org/abs/2207.05790
Publikováno v:
Partial Differ. Equ. Appl. 5, 7 (2024)
We prove a spectral inequality (a specific type of uncertainty relation) for Schr\"odinger operators with confinement potentials, in particular of Shubin-type. The sensor sets are allowed to decay exponentially, where the precise allowed decay rate d
Externí odkaz:
http://arxiv.org/abs/2206.08682
Publikováno v:
J. Pseudo-Differ. Oper. Appl. (2018) 9: 881
This paper provides sufficient conditions for the boundedness of Weyl operators on modulation spaces. The Weyl symbols belong to Wiener amalgam spaces, or generalized modulation spaces, as recently renamed by their inventor Hans Feichtinger. This is
Externí odkaz:
http://arxiv.org/abs/1703.08989
Autor:
Elton, Daniel M.
We consider the equation $\Delta u=Vu$ in exterior domains in $\mathbb{R}^2$ and $\mathbb{R}^3$, where $V$ has certain periodicity properties. In particular we show that such equations cannot have non-trivial superexponentially decaying solutions. As
Externí odkaz:
http://arxiv.org/abs/1703.06194
This paper completes and partially improves some of the results of [arXiv:0809.5002] about the asymptotic behavior of solutions of linear and nonlinear elliptic equations with singular coefficients via an Almgren type monotonicity formula
Externí odkaz:
http://arxiv.org/abs/1007.4434
The asymptotic behavior of solutions to Schr\"odinger equations with singular homogeneous potentials is investigated. Through an Almgren type monotonicity formula and separation of variables, we describe the exact asymptotics near the singularity of
Externí odkaz:
http://arxiv.org/abs/1004.3949
Asymptotics of solutions to Schroedinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis-Kato type procedure, we describe the exa
Externí odkaz:
http://arxiv.org/abs/0809.5002
Autor:
Cordero, Elena, Nicola, Fabio
Publikováno v:
J. Differential Equations, 245(7):1945--1974, 2008
We deal with fixed-time and Strichartz estimates for the Schr\"odinger propagator as an operator on Wiener amalgam spaces. We discuss the sharpness of the known estimates and we provide some new estimates which generalize the classical ones. As an ap
Externí odkaz:
http://arxiv.org/abs/0707.4584
Autor:
de Gosson, Maurice
We derive some consequences of very recent results of Cordero and Nicola on the metaplectic representation, the Wiener amalgam spaces, (whose definition is due to Feichtinger), and their applications to the regularity of the solutions of Schroedinger
Externí odkaz:
http://arxiv.org/abs/0705.1172