Semiclassical Estimates for Scattering on the Real Line
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DOI: 10.1007/s00220-019-03587-1
Abstract: We prove explicit semiclassical resolvent estimates for an integrable potential on the real line. The proof is a comparatively easy case of the spherical energies method, which has been used to prove similar theorems in… read more here.
Keywords: scattering real; semiclassical estimates; real line; line ... See more keywords
Complexity of oscillatory integrals on the real line
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DOI: 10.1007/s10444-016-9496-6
Abstract: AbstractWe analyze univariate oscillatory integrals defined on the real line for functions from the standard Sobolev space Hs(ℝ)$H^{s} (\mathbb {R})$ and from the space Cs(ℝ)$C^{s}(\mathbb {R})$ with an arbitrary integer s ≥ 1. We find… read more here.
Keywords: real line; oscillatory integrals; mathbb; complexity oscillatory ... See more keywords
Analysis of a Chebyshev-type spectral method for the Korteweg-de Vries equation in the real line
Sign Up to like & getrecommendations! Published in 2018 at "Afrika Matematika"
DOI: 10.1007/s13370-018-0635-8
Abstract: Many problems in science and engineering involve nonlinear PDEs which are posed on the real line ($${\mathbb {R}}$$R). Particular examples include a number of important nonlinear wave equations. A rigorous numerical analysis of such problems… read more here.
Keywords: chebyshev type; spectral method; vries equation; korteweg vries ... See more keywords
Support theorem for an SPDE with multiplicative noise driven by a cylindrical Wiener process on the real line
Sign Up to like & getrecommendations! Published in 2019 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-019-00152-8
Abstract: We prove a Stroock-Varadhan's type support theorem for a stochastic partial differential equation (SPDE) on the real line with a noise term driven by a cylindrical Wiener process on $L_2 (\mathbb{R})$. The main ingredients of… read more here.
Keywords: wiener process; driven cylindrical; support theorem; cylindrical wiener ... See more keywords
Weighted Fekete Points on the Real Line and the Unit Circle
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DOI: 10.1007/s40315-020-00317-w
Abstract: Weighted Fekete points are defined as those that maximize the weighted version of the Vandermonde determinant over a fixed set. They can also be viewed as the equilibrium distribution of the unit discrete charges in… read more here.
Keywords: weighted fekete; real line; unit circle; fekete points ... See more keywords
Weighted Uniform Convergence of Entire Grünwald Operators on the Real Line
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DOI: 10.1007/s40315-021-00408-2
Abstract: We consider weighted uniform convergence of entire analogues of the Grunwald operator on the real line. The main result deals with convergence of entire interpolations of exponential type $\tau>0$ at zeros of Bessel functions in… read more here.
Keywords: convergence; uniform convergence; real line; convergence entire ... See more keywords
Sticky Particle Dynamics on the Real Line
Sign Up to like & getrecommendations! Published in 2019 at "Notices of the American Mathematical Society"
DOI: 10.1090/noti1788
Abstract: At the simplest level, the physics of adhesion can be modeled with perfectly inelastic collisions. Let us recall this notion by considering the example of two point masses in R that each move with constant… read more here.
Keywords: dynamics real; sticky particle; particle dynamics; real line ... See more keywords
A polynomial Roth theorem on the real line
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7574
Abstract: For a polynomial $P$ of degree greater than one, we show the existence of patterns of the form $(x,x+t,x+P(t))$ with a gap estimate on $t$ in positive density subsets of the reals. This is an… read more here.
Keywords: theorem real; real line; polynomial roth; roth theorem ... See more keywords
Spectral Properties of the Dirac Operator on the Real Line
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DOI: 10.1134/s0012266121020026
Abstract: We study the asymptotics of the spectrum of the Dirac operator on the real line with a potential in $$L_2 $$ . It is shown that the spectrum of such an operator lies in a… read more here.
Keywords: operator real; spectral properties; real line; properties dirac ... See more keywords