Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications
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🧮 math.AP
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applicationsboundsdirichletequationsfractionallaplacianboundarybounded
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We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equations with nonlocal dissipation and global existence of weak solutions of critical surface quasi-geostrophic equations.
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