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A pseudodifferential equation with damping for one-way wave propagation in inhomogeneous acoustic media

Mathematics – Analysis of PDEs
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A pseudodifferential Hormander's inequality

Mathematics – Analysis of PDEs
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A quantitative formulation of the global regularity problem for the periodic Navier-Stokes equation

Mathematics – Analysis of PDEs
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A quantitative isoperimetric inequality for fractional perimeters

Mathematics – Analysis of PDEs
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A quantitative second order minimality criterion for cavities in elastic bodies

Mathematics – Analysis of PDEs
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A quasi-commutativity property of the Poisson and composition operators

Mathematics – Analysis of PDEs
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A Quasi-Variational Inequality Problem Arising in the Modeling of Growing Sandpiles

Mathematics – Analysis of PDEs
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A quasilinear problem in two parameters depending on the gradient

Mathematics – Analysis of PDEs
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A radiation condition for the 2-D Helmholtz equation in stratified media

Mathematics – Analysis of PDEs
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A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides

Mathematics – Analysis of PDEs
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A rate-independent model for the isothermal quasi-static evolution of shape-memory materials

Mathematics – Analysis of PDEs
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A Reconstruction Procedure for Thermoacoustic Tomography in the Case of Limited Boundary Data

Mathematics – Analysis of PDEs
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A Recurrence Theorem on the Solutions to the 2D Euler Equation

Mathematics – Analysis of PDEs
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A refined global well-posedness result for Schrodinger equations with derivative

Mathematics – Analysis of PDEs
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A regularity criterion for the dissipative quasi-geostrophic equations

Mathematics – Analysis of PDEs
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A regularity criterion for the Navier-Stokes equations via two entries of the velocity Hessian tensor

Mathematics – Analysis of PDEs
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A regularization for the transport equations using spatial-averaging

Mathematics – Analysis of PDEs
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A relation between Gamma convergence of functionals and their associated gradient flows

Mathematics – Analysis of PDEs
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A relationship between the Dirichlet and Regularity Problems for elliptic equations

Mathematics – Analysis of PDEs
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A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator

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