0
$\begingroup$

Motivated by the question Relationship between the vortex filament equation and the cubic Schrödinger equation, I'd like to ask the following:

Where can I find a reference on wellposedness results for the cubic Schödinger equation?

$\endgroup$
1
$\begingroup$

There is quite an extensive literature on this topic:

On the one-dimensional cubic nonlinear Schrödinger equation (2010)

Global well-posedness of the cubic nonlinear Schrödinger equation on compact manifolds without boundary (2010)

Almost sure well-posedness of the cubic nonlinear Schrödinger equation (2009)

Global well-posedness for cubic nonlinear Schrödinger equation (2009)

Unconditional Uniqueness Results for the cubic Nonlinear Schrödinger Equation (2018)

$\endgroup$
  • $\begingroup$ Thank you. Do you know of any comprehensive monograph that deals with the semilinear Schrödinger equation? $\endgroup$ – Kei May 16 at 22:00
  • $\begingroup$ Semilinear Schrödinger Equations: bookstore.ams.org/cln-10 $\endgroup$ – Carlo Beenakker May 17 at 5:36

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.