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The fractional Keller-Segel model

Mathematics – Analysis of PDEs
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The fractional Riesz transform and an exponential potential

Mathematics – Analysis of PDEs
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The framework of the enclosure method with dynamical data and its applications

Mathematics – Analysis of PDEs
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The Free Boundary Problem in the Optimization of Composite Membranes

Mathematics – Analysis of PDEs
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The Fujita Exponent for Semilinear Heat Equations with Quadratically Decaying Potential or in an Exterior Domain

Mathematics – Analysis of PDEs
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The Fujita phenomenon in exterior domains under the dynamical boundary conditions

Mathematics – Analysis of PDEs
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The Fujita phenomenon in exterior domains under the Robin boundary conditions

Mathematics – Analysis of PDEs
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The functional determinant of the Paneitz operator

Mathematics – Analysis of PDEs
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The Fundamental k-Form and Global Relations

Mathematics – Analysis of PDEs
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The fundamental solution and Strichartz estimates for the Schrödinger equation on flat euclidean cones

Mathematics – Analysis of PDEs
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The fundamental solution of nonlinear equations with natural growth terms

Mathematics – Analysis of PDEs
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The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation

Mathematics – Analysis of PDEs
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The Gardner equation and the stability of multi-kink solutions of the mKdV equation

Mathematics – Analysis of PDEs
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The General Quasilinear Ultrahyperbolic Schrödinger Equation

Mathematics – Analysis of PDEs
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The generalized Buckley-Leverett System. Solvability

Mathematics – Analysis of PDEs
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The Generalized Dock Problem

Mathematics – Analysis of PDEs
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The generalized Korteweg-de Vries equation on the half line

Mathematics – Analysis of PDEs
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The generic behavior of solutions to some evolution equations: asymptotics and Sobolev norms

Mathematics – Analysis of PDEs
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The geometric Neumann problem for the Liouville equation

Mathematics – Analysis of PDEs
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The geometry and analysis of the averaged Euler equations and a new diffeomorphism group

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