Results 21 to 30 of about 74 (68)
FLOW WITH $A_{\infty }(\mathbb{R})$ DENSITY AND TRANSPORT EQUATION IN $\text{BMO}(\mathbb{R})$
Forum of Mathematics, Sigma, 2019 We show that, if $b\in L^{1}(0,T;L_{\operatorname{loc}}^{1}(\mathbb{R}))$ has a spatial derivative in the John–Nirenberg space $\operatorname{BMO}(\mathbb{R})$, then it generates a unique flow $\unicode[STIX]{x1D719}(t,\cdot )$ which has an $A_{\infty }(\
RENJIN JIANG, KANGWEI LI, JIE XIAO
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Conical maximal regularity for elliptic operators via Hardy spaces
, 2017 International audienceWe give a technically simple approach to the maximal regularity problem in parabolic tent spaces for second order, divergence form, complex valued elliptic operators.
Yi Huang, Huang, Yi
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Symmetry of solutions to higher and fractional order semilinear equations on hyperbolic spaces
Analysis and Geometry in Metric SpacesIn this paper, we show that nontrivial solutions to a class of higher and fractional order equations with certain nonlinearity are radially symmetric and nonincreasing on geodesic balls in the hyperbolic space Hn ${\mathbb{H}}^{n}$ as well as on the ...
Li Jungang, Lu Guozhen, Wang Jianxiong
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Trudinger–Moser type inequalities with logarithmic weights in fractional dimensions
Advanced Nonlinear StudiesThe purpose of this paper is two-fold. First, we derive sharp Trudinger–Moser inequalities with logarithmic weights in fractional dimensions: sup∫01w(r)u′(r)β+2dλα1/(β+2)≤1∫01eμα,θ,γuβ+2β+11−γdλθ 1 and γ = 1 are also be considered in this part to ...
Xue Jianwei, Zhang Caifeng, Zhu Maochun
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Hardy inequalities with Bessel pair for Dunkl operator
Advanced Nonlinear StudiesUsing the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan +2 more
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The Neumann function and the L p Neumann problem in chord-arc domains
Advanced Nonlinear StudiesWe construct the Neumann function in a 1-sided chord-arc domain (i.e., a uniform domain with an Ahlfors regular boundary), and establish size and Hölder continuity estimates up to the boundary.
Hofmann Steve, Sparrius Derek
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Local and Global Existence of Strong Solutions to Large Cross Diffusion Systems
Advanced Nonlinear Studies, 2018 We study the solvability of a general class of cross diffusion systems and establish the local and global existence of their strong solutions under the weakest assumption that they are VMO.
Le Dung
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Sharp local well-posedness for KP-I equations in the semilinear regime
Forum of Mathematics, SigmaWe show sharp well-posedness with analytic data-to-solution mapping in the semilinear regime for dispersion-generalized KP-I equations on $\mathbb {R}^2$ and $\mathbb {R} \times \mathbb {T}$ .
Shinya Kinoshita +2 more
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Besov regularity for solutions of p-harmonic equations
Advances in Nonlinear Analysis, 2017 We establish the higher fractional differentiability of the solutions to nonlinear elliptic equations in divergence form, i.e., div𝒜(x,Du)=divF,{\operatorname{div}\mathcal{A}(x,Du)=\operatorname{div}F,} when 𝒜{\mathcal{A}} is a p-harmonic type ...
Clop Albert +2 more
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Volume mean operator and differentiation results associated to root systems
, 2017 Let R be a root system in R d with Coxeter-Weyl group W and let k be a non-negative multiplicity function on R. The generalized volume mean of a function f ∈ L 1 loc (R d , m k), with m k the measure given by dm k (x) := ω k (x)dx := ∏ α∈R | ⟨α, x⟩ | k(α)
Rejeb, Chaabane
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