On some convergence results for fractional periodic Sobolev spaces

DOI10.7494/OPMATH.2020.40.1.5zbMath1450.46016OpenAlexW3006643713MaRDI QIDQ5106695

Vincenzo Ambrosio

Publication date: 22 April 2020

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2020.40.1.5

zbMATH Keywords

Fourier series\(\Gamma\)-convergencefractional periodic Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45) Fourier series and coefficients in several variables (42B05)

Related Items (7)

Periodic waves in the fractional modified Korteweg-de Vries equation ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II ⋮ On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation ⋮ Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I ⋮ A Bourgain-Brezis-Mironescu type result for the fractional relativistic seminorm ⋮ Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation

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