Microlocal Dispersive Smoothing for the Nonlinear Schrödinger Equation

DOI10.1137/S0036141003432109zbMath1094.35120OpenAlexW1996731907MaRDI QIDQ5470570

Jérémie Szeftel

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141003432109

zbMATH Keywords

interpolationsmoothing effectparadifferential calculus

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Interpolation between normed linear spaces (46B70) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

Related Items

The Kato smoothing effect for the nonlinear regularized Schrödinger equation on compact manifolds ⋮ Gain of analyticity for semilinear Schrödinger equations ⋮ Propagation of singularities for gravity-capillary water waves ⋮ Propagation and reflection of singularities for the nonlinear Schrödinger equation.