TY - CONF
T1 - Strichartz Estimates for Schrödinger Equation with a Magnetic Potential
AU - Zheng, Shijun
N1 - The dissipative mechanism of Schroedinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field.
PY - 2009/2/17
Y1 - 2009/2/17
N2 - The dissipative mechanism of Schrödinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.
AB - The dissipative mechanism of Schrödinger equation is mathematically described by the decay estimate of solutions. In this talk I mainly focused on the use of harmonic analysis techniques to obtain suitable time decay estimates and then prove the wellposedness for semilinear Schrödinger equation in an external magnetic field. It turns out that the scattering with a potential may lead to understanding of the wellposedness of NLS in the presence of nonsmooth or large initial data. Part of this talk is a joint work with Zhenqiu Zhang.
KW - Magnetic potential
KW - Schrödinger equations
KW - Strichartz estimates
UR - https://www.norbertwiener.umd.edu/seminars/abstracts08-09/abstract13.html
UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/559/
M3 - Presentation
T2 - The Norbert Wiener Center Seminar
Y2 - 17 February 2009
ER -