Local and global well-posedness results are shown for the fractional rough Burgers equation in H^s on the torus for specified ranges of the fractional dissipation parameter gamma, with para-controlled solutions for lower dissipation.
Fourier Analysis and Nonlinear Partial Differential Equations , volume 343 of Grundlehren Der Mathematischen Wissenschaften
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Results of Fractional Rough Burgers equation in $H^s$ space and its application
Local and global well-posedness results are shown for the fractional rough Burgers equation in H^s on the torus for specified ranges of the fractional dissipation parameter gamma, with para-controlled solutions for lower dissipation.