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Sharp constants in weighted trace inequalities on Riemannian manifolds

Mathematics – Analysis of PDEs
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Sharp Continuity Results for the Short-Time Fourier Transform and for Localization Operators

Mathematics – Analysis of PDEs
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Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations

Mathematics – Analysis of PDEs
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Sharp estimates for mean curvature flow of graphs

Mathematics – Analysis of PDEs
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Sharp estimates for pseudodifferential operators with symbols of limited smoothness and commutators

Mathematics – Analysis of PDEs
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Sharp estimates for semi-stable radial solutions of semilinear elliptic equations

Mathematics – Analysis of PDEs
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Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media

Mathematics – Analysis of PDEs
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Sharp estimates for the number of degrees of freedom for the damped-driven 2D Navier--Stokes equations

Mathematics – Analysis of PDEs
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Sharp exponential integrability for traces of monotone Sobolev functions

Mathematics – Analysis of PDEs
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Sharp form for improved Moser-Trudinger inequality

Mathematics – Analysis of PDEs
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Sharp Global Bounds for the Hessian on Pseudo-Hermitian Manifolds

Mathematics – Analysis of PDEs
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Sharp Global Existence for Semilinear Wave Equation with Small Data

Mathematics – Analysis of PDEs
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Sharp global well-posedness for 1D NLS with derivatives

Mathematics – Analysis of PDEs
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Sharp global well-posedness for a higher order Schrödinger equation

Mathematics – Analysis of PDEs
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Sharp Global well-posedness for KdV and modified KdV on $\R$ and $\T$

Mathematics – Analysis of PDEs
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Sharp global well-posedness for non-elliptic derivative Schrödinger equations with small rough data

Mathematics – Analysis of PDEs
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Sharp Hardy inequalities in the half space with trace remainder term

Mathematics – Analysis of PDEs
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Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the periodic case

Mathematics – Analysis of PDEs
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Sharp ill-posedness and well-posedness results for the KdV-Burgers equation: the real line case

Mathematics – Analysis of PDEs
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Sharp ill-posedness result for the periodic Benjamin-Ono equation

Mathematics – Analysis of PDEs
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