| Abstract: |
| The Fourier decoupling theory developed by Bourgain and Demeter in 2015 has found its applications in harmonic analysis as well as dispersive PDEs. Their proof relies heavily on the nonzero curvature property of the hypersurfaces. We seek to generalise decoupling inequalities to smooth hypersurfaces, by using different parttioning rectangles in the Fourier space. |
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