Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.
Poincar´ e-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
Sharp local well-posedness holds for the Hirota-Satsuma system in H^k(R) × H^s(R) with k and s possibly unequal, determined by the dispersion ratio, generalizing the equal-regularity case.
citing papers explorer
-
Cancellations for dispersive PDEs with random initial data
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.
-
Sharp local well-posedness for the Hirota-Satsuma system
Sharp local well-posedness holds for the Hirota-Satsuma system in H^k(R) × H^s(R) with k and s possibly unequal, determined by the dispersion ratio, generalizing the equal-regularity case.