Výsledky vyhledávání - "Periodic Sobolev spaces"

Akademický článek

On some convergence results for fractional periodic Sobolev spaces

Autor: Vincenzo Ambrosio

Publikováno v: Opuscula Mathematica, Vol 40, Iss 1, Pp 5-20 (2020)

In this note we extend the well-known limiting formulas due to Bourgain-Brezis-Mironescu and Maz'ya-Shaposhnikova, to the setting of fractional Sobolev spaces on the torus. We also give a $\Gamma$-convergence result in the spirit of Ponce. The main

Externí odkaz: https://doaj.org/article/5e6d6ac3e5d54966aeb10cf37391e00f

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Monte Carlo Methods for Uniform Approximation on Periodic Sobolev Spaces with Mixed Smoothness

Autor: Byrenheid, Glenn, Kunsch, Robert J., Nguyen, Van Kien

We consider the order of convergence for linear and nonlinear Monte Carlo approximation of compact embeddings from Sobolev spaces of dominating mixed smoothness defined on the torus $\mathbb{T}^d$ into the space $L_{\infty}(\mathbb{T}^d)$ via methods

Externí odkaz: http://arxiv.org/abs/1709.03321

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Akademický článek

Monte Carlo methods for uniform approximation on periodic Sobolev spaces with mixed smoothness

Autor: Byrenheid, Glenn, Kunsch, Robert J., Nguyen, Van Kien

Publikováno v: In Journal of Complexity June 2018 46:90-102

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On the Well-posedness for the Chen-Lee equation in periodic Sobolev spaces

Autor: Pastrán, Ricardo A., Riaño, Oscar G.

We prove that the initial value problem associated to a perturbation of the Benjamin-Ono equation or Chen-Lee equation $u_t+uu_x+\beta \mathcal{H}u_{xx}+\eta (\mathcal{H}u_x - u_{xx})=0$, where $x\in \mathbb{T}$, $t> 0$, $\eta >0$ and $\mathcal{H}$ d

Externí odkaz: http://arxiv.org/abs/1510.00447

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Akademický článek

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Well-posedness for a Family of Perturbations of the KDV Equation in Periodic Sobolev Spaces of Negative Order

Autor: Carvajal, Xavier, Pastran, Ricardo

We establish local well-posedness in Sobolev spaces $H^s(\mathbb{T})$, with $s\geq -1/2$, for the initial value problem issues of the equation $$ u_t + u_{xxx}+\eta Lu + uu_x=0;\; x\in \mathbb{T},\; t\geq0, $$ where $\eta >0$, $(Lu)^{\wedge}(k)=-\Phi

Externí odkaz: http://arxiv.org/abs/1105.2995

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Existence and Regularity of the Solution of Non homogeneous Schrödinger Equation in Periodic Sobolev Spaces

Autor: Yolanda Silvia Santiago Ayala, Santiago César Rojas Romero

Publikováno v: Selecciones Matemáticas; Vol. 8 Núm. 01 (2021): Enero-Julio; 37-51
Selecciones Matemáticas; Vol. 8 No. 01 (2021): January-July; 37-51
Selecciones Matemáticas; v. 8 n. 01 (2021): Janeiro-julho; 37-51
Revistas Universidad Nacional de Trujillo
Universidad Nacional de Trujillo
instacron:UNITRU

In this articlewe prove that the Cauchy problemassociated to the Schrödinger equation in periodic Sobolevspaces is well posed. We do this in an intuitiveway using Fourier theory and in a fine version using Groupstheory, inspired by works Iorio [3],

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43927fa8a390536049c363ebf192dddd
https://doi.org/10.17268/sel.mat.2021.01.04

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