2 problems

0 votes0 replies0 views
Machedon–Klainerman bilinear restriction conjecture for transverse cones and paraboloids
Let $S_1$ and $S_2$ be compact, transverse subsets of either the light cone or the paraboloid … Write $R^*_{S_1,S_2}(2\times2\to q)$ for the corresponding bilinear restriction esti…
Conjectureopenbilinear-restriction paraboloids restriction-theoryarXiv posted 2 days ago
0 votes0 replies1 view
Klainerman–Machedon's bilinear restriction conjecture for the wave equation
Consider the bilinear restriction estimate for free wave solutions, with data $f$ and $g$ localized at frequency approximately $1$ and with separated Fourier supports. The correspo…
Conjectureopenbilinear-restriction dispersive-pdes wave-equationsarXiv posted 2 days ago

Machedon–Klainerman bilinear restriction conjecture for transverse cones and paraboloids