Results 1 to 10 of about 5,929 (263)
Hölder estimates of mild solutions for nonlocal SPDEs
Advances in Difference Equations, 2019 We consider nonlocal PDEs driven by additive white noises on Rd ${\mathbb{R}}^{d}$. For Lq $L^{q}$ integrable coefficients, we derive the existence and uniqueness, as well as Hölder continuity, of mild solutions.
Rongrong Tian +3 more
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Hölder continuity of singular parabolic equations with variable nonlinearity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper we obtain the local Hölder regularity of the weak solutions for singular parabolic equations with variable exponents. The proof is based on DiBenedetto’s technique called intrinsic scaling; by choosing an appropriate geometry one can deduce
Bahja Hamid El
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Differentiability of Hölder-continuous semigroups [PDF]
Proceedings of the American Mathematical Society, 1969 1. A semigroup is a mapping u: R+-+A of the positive half line into an algebra with unit such that u(O) = 1, u(s+t) =u(s)u(t). We assume that A is a b-algebra. The semigroup is differentiable if u is a differentiable mapping of R+ into A. It is Holder-continuous if some p>0 exists such that (u(t) 1)/tP is bounded on some neighborhood of zero.
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Approximation of SPDEs with Holder Continuous Drifts
, 2017 In this paper, exploiting the regularities of the corresponding Kolmogorov equations involved we investigate strong convergence of exponential integrator scheme for a range of stochastic partial differential equations, in which the drift term is Hölder continuous, and reveal the rate of convergence.
Bao, Jianhai +2 more
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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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Hölder Continuity of a Parametric Generalized Variational Inequality
Abstract and Applied Analysis, 2014 By using the classic metric projection method, we obtain sufficient conditions for Hölder continuity of the nonunique solution mapping for a parametric generalized variational inequality with respect to data perturbation. The result is different from the
Li-na Wang, Xiao-bing Li
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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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Control of systems with Holder continuous functions in the distributed delays [PDF]
Carpathian Journal of Mathematics, 2014 An exponential stabilization result is proved for a doubly nonlinear distributed delays system of ordinary differential equations. The problem involves non-Lipschitz continuous distributed delays of non-Lipschitz continuous ”activation” functions. This extends similar previous works where the distributed delays as well as the activation functions were ...
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Boundary Value Problems, 2023 In this paper, we study discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. In the case of growth exponential p ≥ 2 $p\geq 2$ , the regularity results of the partial Hölder continuity of weak solutions are ...
Yan Zhu, Jialin Wang, Dongni Liao
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