Analysis & PDEs
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- Weakly Lipschitz mappings in higher dimensions
- Critical orthonormal Strichartz estimates for Lebesgue spaces
- Stability of negative-regularity mixing and applications to stochastic fluids
- Hyperplane Furstenberg Sets in Higher Dimensions
- Gradient flow formulation and discrete approximation of reaction-cross-diffusion systems with size exclusion
- Sharp bounds and asymptotic profiles for Lane-Emden systems at the Serrin threshold
- Radial Symmetry and Nondegeneracy for Singular Liouville Systems with Small Singular Exponents
- Spectra of Beurling algebras of abelian groups
- First- and second-order constrained optimisation for inverse homogenisation of unidirectionally varying microstructure
- Frame Properties of Effective Stationary Sequences
- A counterexample concerning weighted convolution on the integers
- Sublinear Power-Law Growth of Level Set Diameters in Heterogeneous F-KPP Equations
- A height transportation approach to the quantitative Prékopa--Leindler inequality
- Selection principle for Weak KAM solutions on ℝn via large deviation principle for diffusions
- On a Class of Non-Local Elliptic-Transport Systems in Score-Guided Probability Flow on SE(3): Score-Singularity Resolution, Space-Time ADN Shift, and Markov Mean-Field Games
- Characterization of the group Fourier transform of Hilbert space Valued functions
- Persistence of C2 regularity for aggregation patches
- Human Variations on AI Mathematics
- Global Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation
- Lower bounds for Riesz interaction functionals
- The Dirichlet problem for quaternionic Monge--Ampère equations on flat quaternionic quotients
- Neumann problem for Hessian equation and geometric inequalities in hyperbolic space
- Unique Hahn-Banach extensions in Bochner Lp spaces
- A Note on Fractional Sobolev inequalities revisited
- Global Well-posedness of Incompressible MHD System with Density-dependent Viscosity in ℝ2