Results 21 to 30 of about 488 (49)
Orthogonal Polynomials and Sharp Estimates for the Schr\"odinger Equation
, 2017 In this paper we study sharp estimates for the Schr\"odinger operator via the framework of orthogonal polynomials. We use spherical harmonics and Gegenbauer polynomials to prove a new weighted inequality for the Schr\"odinger equation that is maximized ...
Gonçalves, Felipe
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Global estimates for kernels of Neumann series and Green's functions
, 2014 We obtain global pointwise estimates for kernels of the resolvents $(I-T)^{-1}$ of integral operators \[Tf(x) = \int_{\Omega} K(x, y) f(y) d \omega(y)\] on $L^2(\Omega, \omega)$ under the assumptions that $||T||_{L^2(\omega) \rightarrow L^2 (\omega)} 0$.
Frazier, Michael +2 more
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Boundedness of Maximal Operators of Schr\"odinger Type with Complex Time
, 2012 Results of P. Sj\"olin and F. Soria on the Schr\"odinger maximal operator with complex-valued time are improved by determining up to the endpoint the sharp $s \geq 0$ for which boundedness from the Sobolev space $H^s(\mathbb{R})$ into $L^2(\mathbb{R ...
Bailey, Andrew D.
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Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions
Advanced Nonlinear StudiesThe purpose of this paper is two-fold. First, we derive sharp Trudinger–Moser inequalities with logarithmic weights in fractional dimensions: sup∫01w(r)u′(r)β+2dλα1/(β+2)≤1∫01eμα,θ,γuβ+2β+11−γdλθ 1 and γ = 1 are also be considered in this part to ...
Xue Jianwei, Zhang Caifeng, Zhu Maochun
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, 2016 We show that one can obtain improved $L^4$ geodesic restriction estimates for eigenfunctions on compact Riemannian surfaces with nonpositive curvature. We achieve this by adapting Sogge's strategy in proving improved critical $L^p$ estimates.
Xi, Yakun, Zhang, Cheng
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Hardy inequalities with Bessel pair for Dunkl operator
Advanced Nonlinear StudiesUsing the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan +2 more
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A bundling problem revisited [PDF]
, 2016 It was conjectured by M. Glasser and S. Davison and later proved by A. Eremenko that the certain animals should gather close to each other in order to decrease the total heat loss.
Ivanisvili, Paata
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, 2012 We study boundedness properties of a class of multiparameter paraproducts on the dual space of the dyadic Hardy space H_d^1(T^N), the dyadic product BMO space BMO_d(T^N). For this, we introduce a notion of logarithmic mean oscillation on the polydisc. We
Pott, Sandra, Sehba, Benoit
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Symmetry of solutions to higher and fractional order semilinear equations on hyperbolic spaces
Analysis and Geometry in Metric SpacesIn this paper, we show that nontrivial solutions to a class of higher and fractional order equations with certain nonlinearity are radially symmetric and nonincreasing on geodesic balls in the hyperbolic space Hn ${\mathbb{H}}^{n}$ as well as on the ...
Li Jungang, Lu Guozhen, Wang Jianxiong
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Local and Global Existence of Strong Solutions to Large Cross Diffusion Systems
Advanced Nonlinear Studies, 2018 We study the solvability of a general class of cross diffusion systems and establish the local and global existence of their strong solutions under the weakest assumption that they are VMO.
Le Dung
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