Results 71 to 80 of about 3,996 (166)
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1973-1996, 2004., 2004 Simplified regularization using finite‐dimensional approximations in the setting of Hilbert scales has been considered for obtaining stable approximate solutions to ill‐posed operator equations. The derived error estimates using an a priori and a posteriori choice of parameters in relation to the noise level are shown to be of optimal order with ...
Santhosh George, M. Thamban Nair
wiley +1 more source
Approximation theory for weighted Sobolev spaces on curves [PDF]
, 2001 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana, Domingo +3 more
core +2 more sources
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
doaj +1 more source
Open Mathematics, 2023 We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: ΔHu−μ1ϕ1u=∣u∣2u+Fu(ξ,u,v),inΩ,−ΔHv+μ2ϕ2v=∣v∣2v+Fv(ξ,u,v),inΩ,−ΔHϕ1=u2,−ΔHϕ2=v2,inΩ,ϕ1=ϕ2=u=v=0,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{H}u-{\mu }_{1}{
Li Shiqi, Song Yueqiang
doaj +1 more source
Szasz's theorem and its generalizations [PDF]
arXiv, 2021 We establish the most general Szasz type estimates for homogeneous Besov and Lizorkin-Triebel spaces, and their realizations.
arxiv
Embeddings of α-Modulation Spaces [PDF]
, 2012 2010 Mathematics Subject Classification: 42B35, 46E35.We show upper and lower embeddings of α1-modulation spaces in α2-modulation spaces for 0 ≤ α1 ≤ α2 ≤ 1, and prove partial results on the sharpness of the ...
Toft, Joachim, Wahlberg, Patrik
core
Orlicz norm inequalities for the composite operator and applications
Journal of Inequalities and Applications, 2011 In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
doaj
Remarks on a nonlinear nonlocal operator in Orlicz spaces
Advances in Nonlinear Analysis, 2019 We study integral operators Lu(χ)=∫ℝℕψ(u(x)−u(y))J(x−y)dy$\mathcal{L}u\left( \chi \right)=\int{_{_{\mathbb{R}}\mathbb{N}}\psi \left( u\left( x \right)-u\left( y \right) \right)J\left( x-y \right)dy}$of the type of the fractional p-Laplacian operator ...
Correa Ernesto, Pablo Arturo de
doaj +1 more source
THEORY OF CAPACITIES IN FRACTIONAL SOBOLEV SPACES WITH VARIABLE EXPONENTS [PDF]
, 2019 In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relative capacity.
Baalal, Azeddine, Berghout, Mohamed
core +1 more source
Truncations and compositions in function spaces [PDF]
arXiv, 2022 These notes deal with some recent assertions about truncations $f \mapsto |f|$ and compositions $f \mapsto g\circ f$ in the spaces $A^s_{p,q}(\mathbb{R}^n)$, $A \in \{B,F \}$.
arxiv