Nonlinear wave equations with slowly decaying initial data

2022/03/12 by Jan Rozendaal, Robert Schippa, Rozendaal, Jan +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2203.06412

Abstract

New local smoothing estimates in Besov spaces adapted to the half-wave group are proved via ℓ²-decoupling. We apply these estimates to obtain new well-posedness results for the cubic nonlinear wave equation in two dimensions. The results are compared to new well-posedness results in L^p-based Sobolev spaces.

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• The Hardy spaces H^p_FIO(ℝⁿ) for Fourier integral operators for p<1

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