Results 21 to 30 of about 262 (136)
Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization
Journal of Function Spaces and Applications, 2012 We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems.
Hartmut Führ, Azita Mayeli
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 8, August 2026.ABSTRACT We consider the stationary problem of the MHD equations in R3$\mathbb {R}^3$. The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space Ḃp,q−1+3/p$\dot{B}^{-1 + 3/p}_{p, q}$ for 1⩽p<3$1 \leqslant p < 3$ and 1⩽q⩽∞$1 \leqslant q \leqslant \infty$.
Kento Sube
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Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation
Mathematische Nachrichten, Volume 299, Issue 7, Page 1556-1587, July 2026.ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
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Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces
Analysis and Geometry in Metric Spaces, 2017 We establish trace theorems for function spaces defined on general Ahlfors regular metric spaces Z. The results cover the Triebel-Lizorkin spaces and the Besov spaces for smoothness indices s < 1, as well as the first order Hajłasz-Sobolev space M1,p(Z).
Saksman Eero, Soto Tomás
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
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Besov-Type Spaces on R^d and Integrability for the Dunkl Transform
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper, we show the inclusion and the density of the Schwartz space in Besov-Dunkl spaces and we prove an interpolation formula for these spaces by the real method. We give another characterization for these spaces by convolution.
Chokri Abdelkefi +3 more
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Algebra Properties in Fourier-Besov Spaces and Their Applications
Journal of Function Spaces, 2018 We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the ...
Xuhuan Zhou, Weiliang Xiao
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Fine dissipative properties of Euler solutions with measure first derivatives
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions with bounded variation or deformation, without relying on the freedom in choosing the
Marco Inversi
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