On the uniqueness of solutions to the Gross-Pitaevskii hierarchy
arXiv:math-ph/0701006 · doi:10.1007/s00220-008-0426-4
Abstract
We give a new proof of uniqueness of solutions to the Gross-Pitaevskii hierarchy, first established by Erdos, Schlein and Yau, in a different space, based on space-time estimates.
Cited by in corpus (9)
- Derivation of Effective Evolution Equations from Microscopic Quantum Dynamics
- On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy
- The Hartree-von Neumann limit of many body dynamics
- Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states
- Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics
- Apriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System
- Uniqueness of solutions to the 3D quintic Gross-Pitaevskii Hierarchy
- Classical Proofs Of Kato Type Smoothing Estimates for The Schrödinger Equation with Quadratic Potential in R^n+1 with application
- Multilinear Embedding -- convolution estimates on smooth submanifolds