Results 1 to 10 of about 420,413 (259)
Generalized Space-Time Fractional Stochastic Kinetic Equation
Fractal and Fractional, 2022 In this paper, we study a class of nonlinear space-time fractional stochastic kinetic equations in Rd with Gaussian noise which is white in time and homogeneous in space.
Junfeng Liu, Zhigang Yao, Bin Zhang
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Journal of Function Spaces and Applications, 2010 We consider non-standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X.
Natasha Samko +2 more
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Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems
Journal of Inequalities and Applications, 2017 We study partial regularity of very weak solutions to some nonhomogeneous A-harmonic systems. To obtain the reverse Hölder inequality of the gradient of a very weak solution, we construct a suitable test function by Hodge decomposition.
Qing Zhao, Shuhong Chen
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Geometry and Measurement in Otto Hölder’s Epistemology
Philosophia Scientiæ, 2013 The aim of the paper is to analyze Hölder’s understanding of geometry and measurement presented in Intuition and Reasoning [Hölder 1900], “The Axioms of Quantity and the Theory of Measurement” [Hölder 1901], and The Mathematical Method [Hölder 1924]. The
Paola Cantù
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Spherically Restricted Random Hyperbolic Diffusion
Entropy, 2020 This paper investigates solutions of hyperbolic diffusion equations in R 3 with random initial conditions. The solutions are given as spatial-temporal random fields. Their restrictions to the unit sphere S 2 are studied.
Philip Broadbridge +4 more
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Partial continuity for a class of elliptic systems with non-standard growth
Electronic Journal of Differential Equations, 2016 We study partial Holder continuity of weak solutions to elliptic systems with variable non-standard growth, which are related to the function $\Phi(x,t):=t^{p(x)}\log(e+t)$. We prove that weak solutions are Holder continuous for any Holder exponent,
Jihoon Ok
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Electronic Journal of Differential Equations, 2015 We consider the regularity of solutions for some parabolic equations. We show Holder continuity with exponent $(1+\alpha )/2$, with respect to the time variable, when the gradient in the space variable of the solution has the Holder continuity with ...
Junichi Aramaki
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Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions
Boundary Value Problems, 2018 We study the Hölder continuity of weak solution u to an equation arising in the stationary motion of electrorheological fluids. To this end, we first obtain higher integrability of Du in our case by establishing a reverse Hölder inequality.
Zhong Tan, Jianfeng Zhou, Wenxuan Zheng
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Mathematics, 2021 The purpose of this paper is to analyze solutions of a non-local nonlinear partial integro-differential equation (PIDE) in multidimensional spaces. Such class of PIDE often arises in financial modeling.
Daniel Ševčovič +1 more
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Hölder continuity for second order non variational parabolic systems
Le Matematiche, 1998 See directly the ...
Maria Stella Fanciullo
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