Rescaling and Trace Operators in Fractional Sobolev Spaces on Bounded Lipschitz Domains with Periodic Structure

Bounded Lipschitz Domains

Composition in fractional Sobolev spaces

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2001.7.241 ◽

2001 ◽

Vol 7 (2) ◽

pp. 241-246 ◽

Cited By ~ 5

Author(s):

Haim Brezis ◽

◽

Petru Mironescu ◽

Keyword(s):

Sobolev Spaces ◽

On Uniqueness for the Navier–Stokes System in 3D-Bounded Lipschitz Domains

Journal of Functional Analysis ◽

10.1006/jfan.2002.3902 ◽

2002 ◽

Vol 195 (1) ◽

pp. 1-11 ◽

Cited By ~ 11

Author(s):

Sylvie Monniaux

Keyword(s):

Stokes System ◽

Navier Stokes ◽

Lipschitz Domains ◽

Bounded Lipschitz Domains

Generalized Gagliardo–Nirenberg inequalities using Lorentz spaces, BMO, Hölder spaces and fractional Sobolev spaces

Nonlinear Analysis ◽

10.1016/j.na.2018.04.001 ◽

2018 ◽

Vol 173 ◽

pp. 146-153 ◽

Cited By ~ 6

Author(s):

Nguyen Anh Dao ◽

Jesus Ildefonso Díaz ◽

Quoc-Hung Nguyen

Keyword(s):

Sobolev Spaces ◽

Lorentz Spaces ◽

Hölder Spaces ◽

Holder Spaces

On a fractional (s, p)-Dirichlet-to-Neumann operator on bounded Lipschitz domains

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-018-0017-2 ◽

2018 ◽

Vol 4 (1) ◽

pp. 223-269 ◽

Cited By ~ 6

Author(s):

Mahamadi Warma

Keyword(s):

Lipschitz Domains ◽

Neumann Operator ◽

Dirichlet To Neumann Operator ◽

Bounded Lipschitz Domains

A distributional approach to fractional Sobolev spaces and fractional variation: Existence of blow-up

Journal of Functional Analysis ◽

10.1016/j.jfa.2019.03.011 ◽

2019 ◽

Vol 277 (10) ◽

pp. 3373-3435 ◽

Cited By ~ 6

Author(s):

Giovanni E. Comi ◽

Giorgio Stefani

Keyword(s):

Sobolev Spaces ◽

Blow Up ◽

The sharp affine L2 Sobolev trace inequality and affine energy in the fractional Sobolev spaces

Advances in Applied Mathematics ◽

10.1016/j.aam.2020.102039 ◽

2020 ◽

Vol 118 ◽

pp. 102039

Author(s):

Van Hoang Nguyen

Keyword(s):

Sobolev Spaces ◽

Trace Inequality

A density result for fractional Sobolev spaces

Variational Methods for Nonlocal Fractional Problems ◽

10.1017/cbo9781316282397.004 ◽

2016 ◽

pp. 43-62

Author(s):

Giovanni Molica Bisci ◽

Vicentiu D. Radulescu ◽

Raffaella Servadei

Keyword(s):

Sobolev Spaces ◽

Density Result

The conditional law of the Bacry–Muzy and Riemann–Liouville log correlated Gaussian fields and their GMC, via Gaussian Hilbert and fractional Sobolev spaces

Statistics & Probability Letters ◽

10.1016/j.spl.2020.108732 ◽

2020 ◽

Vol 161 ◽

pp. 108732

Author(s):

Martin Forde ◽

Benjamin Smith

Keyword(s):

Sobolev Spaces ◽

Gaussian Fields ◽

Asymptotically optimal approximation in fractional Sobolev spaces and the numerical solution of differential equations

Numerische Mathematik ◽

10.1007/bf01436722 ◽

1974 ◽

Vol 22 (2) ◽

pp. 75-87 ◽

Cited By ~ 4

Author(s):

C. A. Micchelli ◽

W. L. Miranker

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Sobolev Spaces ◽

Optimal Approximation ◽

Asymptotically Optimal

Local maximal operators on fractional Sobolev spaces

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/06831357 ◽

2016 ◽

Vol 68 (3) ◽

pp. 1357-1368 ◽

Cited By ~ 1

Author(s):

Hannes LUIRO ◽

Antti V. VÄHÄKANGAS

Keyword(s):

Sobolev Spaces ◽

Maximal Operators ◽