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New Characterizations of First Order Sobolev Spaces

We provide new characterizations of Sobolev spaces that are true under some mild conditions. We study modified first order Sobolev spaces on metric measure spaces: $\mathrm{TC}$-Newtonian space, $\hat{\mathrm{TC}}$-Newtonian space, and Gigli-like space ...
Kurowski, Kacper, Górka, Przemysław
core  

Energy-dissipative adaptive-step L1 discretisation for the Caputo time-fractional incompressible magnetohydrodynamic system. [PDF]

Sci Rep
Abidin MZ.
europepmc   +1 more source

One Dimensional Energy Cascades in a Fractional Quasilinear NLS. [PDF]

Arch Ration Mech Anal
Maspero A, Murgante F.
europepmc   +1 more source

Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling. [PDF]

Calc Var Partial Differ Equ
Bui LTT, Huynh TKL, Tang BQ, Tran BN.
europepmc   +1 more source

Multigrid Methods for Discrete Fractional Sobolev Spaces [PDF]

, 2018
B{\ae}rland, Trygve, Miroslav Kuchta, Kent‐André Mardal   +2 more
openalex  

Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]

Nonlinear Differ Equ Appl
Agresti A, Veraar M.
europepmc   +1 more source

Convergence of the Immersed Interface Method in Linear Elasticity. [PDF]

Mathematica (N Y)
Asghar S, Peng Q, Javierre E, Vermolen F.   +3 more
europepmc   +1 more source

Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space

Xinyue Yu, Hayden Schaeffer
openalex   +1 more source

Long time inviscid damping near Couette in Sobolev spaces [PDF]

Dengjun Guo, Xiaoyutao Luo
openalex   +1 more source

Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]

Manuscr Math
Kunzinger M, Ohanyan A, Vardabasso A.
europepmc   +1 more source