Results 1 to 10 of about 100,089 (191)

GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES [PDF]

open access: yesForum of Mathematics, Sigma, 2014
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS   +2 more
doaj   +4 more sources

Multipliers in weighted Sobolev spaces on the axis [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
doaj   +2 more sources

Dirac--Sobolev Spaces and Sobolev Spaces

open access: yesFunkcialaj Ekvacioj, 2010
The aim of this work is to study the first order Dirac-Sobolev spaces in $L^p$ norm on an open subset of ${\mathbb R}^3$ to clarify its relationship with the corresponding Sobolev spaces.
Ichinose, Takashi, Saitō, Yoshimi
openaire   +4 more sources

Inclusion of Hajłasz – Sobolev class Mpα(X) into  the space of continuous functions in the critical case

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
Let (X, d, µ) be a doubling metric measure space with doubling dimension γ, i. e. for any balls B(x, R) and B(x, r), r < R, following inequality holds µ(B(x, R)) ≤ aµ (R/r)γµ(B(x, r)) for some positive constants γ and aµ.
Sergey A. Bondarev
doaj   +1 more source

On a New Parabolic Sobolev Embedding Map

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.
El Aidi Mohammed
doaj   +1 more source

Kaitan Antara Ruang Sobolev dan Ruang Lebesgue

open access: yesJurnal Fourier, 2017
Measureable function space and its norm with integral form has been known, one of which is Lebegsue Space and Sobolev Space. In applied Mathematics like in finding solution of partial differential equations, that two spaces is soo usefulness.
Pipit Pratiwi Rahayu
doaj   +1 more source

Regularity of Stochastic Kinetic Equations [PDF]

open access: yes, 2016
We consider regularity properties of stochastic kinetic equations with multiplicative noise and drift term which belongs to a space of mixed regularity ($L^p$-regularity in the velocity-variable and Sobolev regularity in the space-variable).
Fedrizzi, Ennio   +3 more
core   +5 more sources

W-Sobolev spaces

open access: yesJournal of Mathematical Analysis and Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simas, Alexandre B., Valentim, Fábio J.
openaire   +2 more sources

Concerning the pathological set in the context of probabilistic well-posedness

open access: yesComptes Rendus. Mathématique, 2021
We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
doaj   +1 more source

Sobolev subspaces of nowhere bounded functions [PDF]

open access: yes, 2016
We prove that in any Sobolev space which is subcritical with respect to the Sobolev Embedding Theorem there exists a closed infinite dimensional linear subspace whose non zero elements are nowhere bounded functions.
Lamberti, PIER DOMENICO   +1 more
core   +3 more sources

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