2549 papers
This paper establishes pointwise Wolff potential estimates for the gradient and Lipschitz regularity for solutions to nonlinear elliptic equations with measure data under Orlicz-type growth conditions, recovering known results for the singular -Laplace equation in the power-type case.
This paper generalizes Simpson's main estimates for cyclic harmonic -bundles induced by split automorphisms and applies these results to classify Toda type -harmonic bundles.
This paper proposes DPS-LA, a novel distributed optimization algorithm that overcomes the dependency on unknown global optimal values by using level-value adjustments and linear feasibility problems to achieve parameter-free adaptability, network consensus, and a linear speedup convergence rate of .
This paper establishes stability estimates for reconstructing the locations and time-dependent amplitudes of point sources in parabolic equations with non-self-adjoint elliptic operators from boundary observations, utilizing a novel combination of Carleman estimates, solution regularity, and explicit adjoint constructions across various spatial dimensions, supported by numerical reconstructions.
This paper classifies all ancient smooth embedded finite-entropy curve shortening flows into five specific categories: static lines, shrinking circles, paper clips, translating grim reapers, and graphical ancient trombones, thereby establishing that all such compact flows are convex and characterizing the structure of non-compact ones.
This paper establishes an analogue of the Robinson--Schensted correspondence for cylindric tableaux by constructing a bijection between specific pattern-avoiding permutations and pairs of cylindric standard Young tableaux, leading to new enumerative results and asymptotic formulas.
This paper proposes a new symbol detection framework for ambient backscatter communication receivers equipped with low-noise amplifiers, demonstrating through bit error rate analysis and deflection coefficient evaluation that such amplifiers enhance detection performance at low-to-moderate transmission powers and deriving a near-optimal threshold estimation method using pilot symbols.
This paper establishes scaling laws for secrecy rates in MIMO wiretap channels to analyze the interplay between transmit, receive, and eavesdropper antennas, revealing that secure communication may fail when the eavesdropper has more than twice the transmitter's antennas and identifying conditions under which artificial noise remains effective against artificial noise elimination countermeasures.
This paper proposes a novel direct sampling method that utilizes multi-frequency far-field measurements to simultaneously reconstruct both the temporal radiating time and the spatial support of time-dependent electromagnetic sources governed by Maxwell's equations.
This paper investigates the structure of the space of -invariant 3-paths in directed graphs by proving they admit a basis of trapezohedral paths and their merging images, thereby providing an explicit construction and an algorithm to compute their dimension and basis.
This paper re-establishes the existence of level-2 rough integrals for controlled rough paths using a point-removal method, derives a new a priori estimate, and proves a universal limit theorem for rough differential equations driven by controlled rough paths, thereby extending the classical theory.
This paper derives an asymptotic formula for the order of the 2-primary parts of even K-groups in the cyclotomic -extensions of real quadratic number fields by analyzing 2-adic divisibility of Dirichlet L-series, thereby determining their Iwasawa invariants and explicitly characterizing the structure of 2-primary tame kernels for specific families of fields.
This paper provides a rigorous counterexample demonstrating that the property of all derivations from a Banach algebra into a dense ideal being inner does not imply that all derivations into the algebra itself are inner, specifically using the algebra of compact operators and its dense ideal of finite-rank operators.
This paper establishes the global existence of smooth solutions and the finite-time formation of singularities for radially symmetric supersonic expanding waves in non-isentropic compressible Euler equations by introducing gradient variables to construct invariant domains and derive a priori estimates.
This paper reviews rigorous results on the semiclassical behavior of the scattering data for a non-self-adjoint Dirac operator with oscillatory potential, utilizing exact WKB and Olver's methods to advance the understanding of the focusing cubic NLS equation via inverse scattering theory.
This paper investigates the asymptotic behavior of the entrance probability for discounted aggregate claims in a multivariate risk model with constant interest force and dependent subexponential claims over both finite and infinite time horizons, ultimately applying these findings to analyze ruin probabilities in models with Brownian perturbations.
This paper presents two novel, short proofs for the sharp uniform-in-diffusivity mixing rate of passive scalars in parallel shear flows with weak molecular diffusion, utilizing stochastic integration-by-parts to establish optimality under minimal regularity and a dynamical systems approach to provide a new perspective on shear-induced mixing.
This paper employs diagonalization of linear operators and KAM theory to prove the existence of time quasi-periodic, spatially localized states with arbitrary power-law decay in a nonlinear disordered Stark model for most random realizations and reasonable parameter ranges.
This paper establishes the unique recovery of the location and time-dependent amplitude of a point source in the heat equation from sparse boundary flux measurements on unit balls in higher dimensions and simply connected smooth domains in two dimensions, utilizing a combination of spectral analysis, kernel properties, and complex analysis, and validates these theoretical findings through numerical experiments.
This paper constructs natural Frobenius structures on two families of rigid irregular -connections, utilizing them to analyze local monodromy, verify Reeder--Yu's predictions on epipelagic Langlands parameters, and confirm the cohomological and physical rigidity conjectures of Heinloth--Ngô--Yun.