Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates [PDF]
Forum of Mathematics, Sigma, 2021 We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein–Gordon and fractional Schrödinger equations.
Neal Bez, Sanghyuk Lee, Shohei Nakamura
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Local Integral Estimates for Quasilinear Equations with Measure Data [PDF]
The Scientific World Journal, 2016 Local integral estimates as well as local nonexistence results for a class of quasilinear equations -Δpu=σP(u)+ω for p>1 and Hessian equations Fk-u=σP(u)+ω were established, where σ is a nonnegative locally integrable function or, more generally, a ...
Qiaoyu Tian +3 more
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New estimates considering the generalized proportional Hadamard fractional integral operators
Advances in Difference Equations, 2020 In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It
Shuang-Shuang Zhou +4 more
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Integral Estimates for Transport Densities [PDF]
Bulletin of the London Mathematical Society, 2004 The paper provides some partial differential equation methods that improve upon the \(L^p\) estimates of the `transport densities' in certain Monge-Kantorovich mass transfer problems, as derived in an earlier paper by \textit{L. De Pascale} and \textit{A. Pratelli} [Calc. Var. Partial Differ. Equ. 14, No. 3, 249--274 (2002; Zbl 1032.49043)].
L. de Pascale, L. Evans, A. Pratelli
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Integral estimates of the solutions of fractional-like equations of perturbed motion
Nonlinear Analysis, 2018 In this paper, the results of the analysis of nonlinear systems with fractional-like derivatives of the state vector are presented. Using the method of integral inequalities, some estimates of the solutions are obtained, and criteria for Heyers–Ulam ...
Anatoliy Martynyuk +2 more
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Estimates For An Integral In Lp Norm Of The (N + 1)-Th Derivative Of Its Integrand [PDF]
, 2000 Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Qi, Feng, Guo, Bai-Ni
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Explicit estimates for some mixed integral inequalities
Electronic Journal of Differential Equations, 2010 The main objective of this paper is to establish explicit estimates for some mixed integral inequalities, which can be used as tools in the study of qualitative behavior of solutions to certain integral equations.
Baburao G. Pachpatte
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K. Petr's Formula of Double Integral and Estimates of its Remainder [PDF]
, 2003 In the article, K. Petr’s formula of single integral is generalized to that of double integral, some important special cases and estimates of its remainder are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
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New integral estimates in substatic Riemannian manifolds and the Alexandrov Theorem [PDF]
Journal des Mathématiques Pures et Appliquées, 2021 . We derive new integral estimates on substatic manifolds with boundary of horizon type, naturally arising in General Relativity. In particular, we generalize to this setting an identity due to Magnanini-Poggesi [MP19] leading to the Alexandrov Theorem ...
Mattia Fogagnolo, A. Pinamonti
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Integral and boundary estimates for critical metrics of the volume functional [PDF]
Israel Journal of Mathematics, 2022 In this article, we investigate the geometry of critical metrics of the volume functional on compact manifolds with boundary. We use the generalized Reilly’s formula to derive new sharp integral estimates for critical metrics of the volume functional on ...
R. Diógenes +2 more
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