Results 21 to 30 of about 1,973 (103)
A note on truncations in fractional Sobolev spaces [PDF]
, 2017 We study the Nemytskii operators $u\mapsto |u|$ and $u\mapsto u^{\pm}$ in fractional Sobolev spaces $H^s(\mathbb R^n)$, $s>1$.Comment: 9 ...
Musina, Roberta, Nazarov, Alexander I.
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On the boundedness of operators in LP(ιq) and Triebel‐Lizorkin Spaces
Journal of Function Spaces, Volume 6, Issue 2, Page 177-186, 2008., 2008 Given a bounded linear operator T : LPO(ℝn) → Lp1(ℝn), we state conditions under which T defines a bounded operator between corresponding pairs of Lp(ℝn; ιq) spaces and Triebel‐Lizorkin spaces Fp,qs(ℝn). Applications are given to linear parabolic equations and to Schrödinger semigroups.
João Pedro Boto, Hans Triebel
wiley +1 more source
Some remarks about the summability of nonlocal nonlinear problems
Advances in Nonlinear Analysis, 2015 In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña +2 more
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Advances in Nonlinear Analysis, 2023 In this article, we develop a new set of results based on a non-local gradient jointly inspired by the Riesz ss-fractional gradient and peridynamics, in the sense that its integration domain depends on a ball of radius δ>0\delta \gt 0 (horizon of ...
Bellido José Carlos +2 more
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Logarithmic Sobolev inequality revisited [PDF]
, 2017 We provide a new characterization of the logarithmic Sobolev inequality.Comment: 5 ...
Nguyen, Hoai-Minh, Squassina, Marco
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On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces, Volume 6, Issue 3, Page 259-276, 2008., 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +3 more
wiley +1 more source
Trace Operators on Regular Trees
Analysis and Geometry in Metric Spaces, 2020 We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.
Koskela Pekka +2 more
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A homogeneity property for Besov spaces
Journal of Function Spaces, Volume 5, Issue 2, Page 123-132, 2007., 2007 A homogeneity property for some Besov spaces Bp,qs is proved. An analogous property for some Fp,qs spaces is already known.
António M. Caetano +3 more
wiley +1 more source
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
Open Mathematics, 2017 In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions.
Los Valerii, Murach Aleksandr
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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, II [PDF]
, 2002 32 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.-- Part I of this paper published in: Acta Appl. Math. 80(3): 273-308 (2004), available at: http://e-archivo.uc3m.es/handle/10016/6482MR#: MR1928169 (2003h:42034)Zbl#: Zbl 1095.42014^aWe present ...
Pestana, Domingo +3 more
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