Results 1 to 10 of about 538,001 (326)
Journal of Functional Analysis, 1969 AbstractIn the theory of partial differential equations one encounters two types of a priori estimates: a) estimates in the Lp norm, b) Schauder estimates, i.e. estimates in the Lipα norm. It would therefore be desirable to be able to deal simultanously with this two different types of norms. An attempt to achieve this is provided by the theory of Lp,λ
Jaak Peetre
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Local Existence Theorem of Fractional Differential Equations in Lp Space [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 We proved the existence of P-integrable solution in -space, where for the fractional differential equation which has the form: with boundary condition where is the Caputo fractional derivative, and c are positive ...
Joseph Abdulahad, Shayma Murad
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Convergence of convex integrals in Lp spaces
Journal of Mathematical Analysis and Applications, 1976 AbstractWe consider functionals of the form: If(u) = ∝T f[t, u(t)]μ(dt), which are defined on spaces Lp(T, Rk), and we study for these functionals the properties of a convergence for which the conjugacy If → If∗ is a continuous operator.
Jean-Luc Joly, François de Thélin
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The Vervaat Process in Lp Spaces
Journal of Multivariate Analysis, 2001 Let \(E_n\) be the empirical distribution function based on a sample of size \(n\) from the uniform \((0,1)\) distribution, and let \(E_n^{-1}\) be the left-continuous inverse of \(E_n\). Moreover, set \(\beta_n^U=E_n-I\) and \(\gamma_n^U=E_n^{-1}-I\), where \(I\) denotes the identity function.
Miklós Csörgő, Ričardas Zitikis
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Geometrical properties of lp spaces [PDF]
Fixed Point Theory, 2021 Sami Shukri
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Properties of Functions on a Bounded Charge Space
Analysis and Geometry in Metric Spaces, 2022 A charge space (X, 𝒜, µ) is a generalisation of a measure space, consisting of a sample space X, a field of subsets 𝒜 and a finitely additive measure µ, also known as a charge.
Keith Jonathan M.
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International Journal of Analysis and Applications, 2022 In this paper, we shall extend a fundamental variational inequality which is developed by Simader in W1,p to a variable exponent Sobolev space W1,p(·).
Junichi Aramaki
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Luminal Preservation Protects the Small Intestine in a Brain-dead Rat Model
Transplantation Direct, 2022 Background. Intestinal transplantation depends on donation after brain death (DBD). Luminal preservation (LP) has been beneficial against preservation injury in previous studies in animal models, but none include DBD.
Guido Trentadue, MD, PhD +8 more
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Existence Solution of Volterra Hammerstein Equation in L^p Space [PDF]
Kirkuk Journal of Science, 2019 In this paper we use the fixed-point theorem of Latrach, Taoudi and Zeghal under some conditions to find a solution for Volterra_Hammerstein integral equation in the Banach space L^p ([0,m],R). We use this fixed point theorem with new assumptions.
Mahmood Shihab
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