4 papers
Asymptotic behavior for the damped Schrödinger equation with nonlinear dissipation
Takahisa Inui, Shun Takizawa
We consider large time asymptotics of solutions to the damped Schrödinger equation with the nonlinear dissipation in the mass-subcritical case. We prove that the optimal -deca…
Sharp asymptotic behavior of solutions to damped nonlinear Schrödinger equations
Kodai Takagi, Shun Takizawa
We consider large time asymptotics for damped nonlinear Schrödinger equations. It is known that the nonlinear solution asymptotically behaves like a linear solution when time t…
Strichartz estimates in Wiener amalgam spaces for Schrödinger equations with at most quadratic potentials
Shun Takizawa
For Schrödinger equations with potentials which grow at most quadratically at spatial infinity, we prove Strichartz estimates in Wiener amalgam spaces. These estimates provide a st…
Short time asymptotics of the fundamental solutions for Schrödinger equations with non-smooth potentials
Shun Takizawa
This paper deals with Schrödinger equations with potentials which are time-dependent non-smooth and at most quadratic growth. In the case where potentials are smooth with respect t…