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The Scalar Curvature Problem on the Four Dimensional Half Sphere

Mathematics – Analysis of PDEs
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The Schrödinger-Poisson system on the sphere

Mathematics – Analysis of PDEs
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The Schroedinger Equation with Potential in Rough Motion

Mathematics – Analysis of PDEs
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The Schroedinger propagator for scattering metrics

Mathematics – Analysis of PDEs
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The second boundary value problem for equations of viscoelastic diffusion in polymers

Mathematics – Analysis of PDEs
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The second iterate for the Navier-Stokes equation

Mathematics – Analysis of PDEs
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The Second Order Estimate for Fully Nonlinear Uniformly Elliptic Equations without Concavity Assumption

Mathematics – Analysis of PDEs
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The sectorial projection defined from logarithms

Mathematics – Analysis of PDEs
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The Segal-Bargmann transform for the heat equation associated with root systems

Mathematics – Analysis of PDEs
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The semiclassical limit of focusing NLS for a family of non-analytic initial data

Mathematics – Analysis of PDEs
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The semiclassical resolvent and the propagator for nontrapping scattering metrics

Mathematics – Analysis of PDEs
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The semiflow of a reaction diffusion equation with a singular potential

Mathematics – Analysis of PDEs
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The semilinear wave equation on asymptotically euclidean manifolds

Mathematics – Analysis of PDEs
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The shape of the ear canal

Mathematics – Analysis of PDEs
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The sharp corner formation in 2d Euler dynamics of patches: infinite double exponential rate of merging

Mathematics – Analysis of PDEs
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The sharp Hardy Uncertainty Principle for Schödinger evolutions

Mathematics – Analysis of PDEs
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The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions

Mathematics – Analysis of PDEs
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The singular extremal solutions of the bilaplacian with exponential nonlinearity

Mathematics – Analysis of PDEs
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The singular functions of branching edge asymptotics

Mathematics – Analysis of PDEs
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The Singular Limit of a Chemotaxis-Growth System with General Initial Data

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