Results 21 to 30 of about 3,634 (78)
Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Mathematische Nachrichten, EarlyView.Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
wiley +1 more source
Characterization of Besov spaces with dominating mixed smoothness by differences
Mathematische Nachrichten, Volume 298, Issue 7, Page 2116-2151, July 2025.Abstract Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov ...
Paul Nikolaev +2 more
wiley +1 more source
Advances on the Links Between Turbulent and Submeso‐ to Mesoscales During EUREC4A
Earth and Space Science, Volume 12, Issue 2, February 2025.Abstract Turbulent processes in the atmospheric boundary layer (ABL) are parameterized in numerical weather prediction and climate models. Better understanding their modulation by larger‐scale organized structures, some of them being represented explicitly, is thus of great interest.
E. Gauvrit +3 more
wiley +1 more source
Persistence of the solution to the Euler equations in an end‐point critical Triebel–Lizorkin space
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2421-2433, 30 January 2025.Local stay of the solutions to the Euler equations for an ideal incompressible fluid in the end‐point Triebel–Lizorkin space F1,∞sℝd$$ {F}_{1,\infty}^s\left({\mathbb{R}}^d\right) $$ with s≥d+1$$ s\ge d+1 $$ is clarified.
JunSeok Hwang, Hee Chul Pak
wiley +1 more source
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract We consider maximal estimates associated with fermionic systems. Firstly, we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many‐body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer.
Neal Bez +2 more
wiley +1 more source
Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
wiley +1 more source
, 2010 This paper is devoted to the proof of boundedness of bilinear smooth square functions. Moreover, we deduce boundedness of some bilinear pseudo-differential operators associated with symbols belonging to a subclass of $BS^0_{0,0}$.Comment: 27 ...
Bernicot, Frederic, Shrivastava, Saurabh
core +1 more source
Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
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New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications
Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
wiley +1 more source
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D
Communications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1353-1404, February 2024.Abstract We study a large family of Riesz‐type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined by ellipses under certain assumptions.
José A. Carrillo, Ruiwen Shu
wiley +1 more source