Numerical simulations of the 1D fractional cubic defocusing wave equation show norm inflation and probabilistic well-posedness in both subcritical and supercritical energy regimes.
Lebeau, Perte de r´ egularit´ e pour les ´ equations d’ondes sur-critiques, Bulletin de la Soci´ et´ e Math´ ematique de France 133 (1) (2005) 145–157
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Numerical study of probabilistic well-posedness of one dimensional fractional nonlinear wave equations
Numerical simulations of the 1D fractional cubic defocusing wave equation show norm inflation and probabilistic well-posedness in both subcritical and supercritical energy regimes.