For the two-dimensional focusing cubic nonlinear Schrödinger equation, the NLS ground state is the positive radial solution of
(1)
Its symmetry orbit consists of the optimizers of the sharp Gagliardo-Nirenberg inequality.
In two dimensions,
(1)
and equality holds exactly on the phase, translation, and scaling orbit of the NLS ground state .

Ancestors (6)

  1. Nonlinear Schrödinger blowup analysis
  2. Nonlinear analysis
  3. Analysis
  4. Area of mathematics
  5. Mathematics
  6. Home

Incoming links (2)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version