Results 111 to 120 of about 3,123 (248)
Journal of Function Spaces and Applications, 2010 H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}.
R. L. Johnson, C. R. Warner
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Weighted Composition Operators from Hardy Spaces into Logarithmic Bloch Spaces
Journal of Function Spaces and Applications, 2012 The logarithmic Bloch space Blog is the Banach space of analytic functions on the open unit disk 𝔻 whose elements f satisfy the condition ∥f∥=supz∈𝔻(1-|z|2)log (2/(1-|z|2))|f'(z)|
Flavia Colonna, Songxiao Li
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On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
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Approximate additive mappings in 2-Banach spaces and related topics
Journal of Mathematical Analysis and Applications, 2011 Let \(\mathcal{X}\) be a linear space over \(\mathbb{R}\) with dimension greater than \(1\) and let \(\| .,.\|:\mathcal{X}\times\mathcal{X}\to \mathbb R\) be a function with the following properties: {\parindent6.5mm \begin{itemize}\item[(a)] \(\| x,y\|=0\) if and only if \(x\) and \(y\) are linearly dependent; \item[(b)] \(\| x,y\|=\| y,x\|\); \item ...
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Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces [PDF]
, 2019 Jialin Hong, Chuying Huang, Zhihui Liu
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On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
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Abstract and Applied Analysis, 2010 The purpose of this paper is to introduce a new hybrid projection method for finding a common element of the set of common fixed points of two relatively quasi-nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly ...
Siwaporn Saewan +2 more
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Analysis of a Viscoplastic Burgers Equation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
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Stability and Instability of an Apollonius-Type Functional Equation
MathematicsFor the inner product space, we have Appolonius’ identity. From this identity, Park and Th. M. Rassias induced and investigated the quadratic functional equation of the Apollonius type. And Park and Th. M.
Ponmana Selvan Arumugam +2 more
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