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Eigenvalue Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations
In this paper, we consider several improved regularity criteria to the 3D micropolar fluid equations. In particular, we prove regularity criteria...
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Regularity for quasi-minima of the Alt–Caffarelli functional
We investigate regularity estimates of quasi-minima of the Alt–Caffarelli energy functional. We prove universal Hölder continuity of quasi-minima and...
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Besov regularity of inhomogeneous parabolic PDEs
We study the regularity of solutions of parabolic partial differential equations with inhomogeneous boundary conditions on polyhedral domains
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Boundary Regularity of Isometries Between Infinitely Flat Complex Domains
In this paper we prove that isometries with respect to the Kobayashi metric between certain domains having boundary points at which the boundary is...
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Weighted Weak-Type BMO-Regularity
Stability for the weak-type BMO-regularity property of a couple ( X, Y ) under the perturbation ( X ( u ), Y ( v )) by some weights is considered. An example...
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Castelnuovo–Mumford regularity of matrix Schubert varieties
Matrix Schubert varieties are affine varieties arising in the Schubert calculus of the complete flag variety. We give a formula for the...
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Conditional Regularity for the 3D Damped Boussinesq Equations with Zero Thermal Diffusion
The main purpose of this paper is to establish regularity criteria of the 3D damped Boussinesq equations with zero thermal diffusion. It is shown...
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Causal sparse domination of Beurling maximal regularity operators
We prove boundedness of Calderön–Zygmund operators acting in Banach function spaces on domains, defined by the L 1 Carleson functional and L q (1 < q <...
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Optimal error estimates for non-conforming approximations of linear parabolic problems with minimal regularity
We consider a general linear parabolic problem with extended time boundary conditions (including initial value problems and periodic ones), and...
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Rates of asymptotic regularity for the alternating Halpern–Mann iteration
In this paper we extend to UCW -hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern–Mann iteration obtained...
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Low regularity integrators for semilinear parabolic equations with maximum bound principles
This paper is concerned with conditionally structure-preserving, low regularity time integration methods for a class of semilinear parabolic...
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Regularity in shape optimization under convexity constraint
This paper is concerned with the regularity of shape optimizers of a class of isoperimetric problems under convexity constraint. We prove that...
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Existence and Regularity of Pullback Attractors for a Non-autonomous Diffusion Equation with Delay and Nonlocal Diffusion in Time-Dependent Spaces
In this paper, we study the asymptotic behavior of solutions to a non-autonomous diffusion equations with delay containing some hereditary...
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Higher Hölder regularity for nonlocal parabolic equations with irregular kernels
We study a nonlocal parabolic equation with an irregular kernel coefficient to establish higher Hölder regularity under an appropriate higher...
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Global well-posedness and interior regularity of 2D Navier–Stokes equations with stochastic boundary conditions
The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier–Stokes equations with inhomogeneous...
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Theoretical results on the existence, regularity and asymptotic stability of enhanced pullback attractors: applications to 3D primitive equations
Several new concepts of enhanced pullback attractors for nonautonomous dynamical systems are introduced here by uniformly enhancing the compactness...