A Spectral Multiplier Theorem Associated with a Schrodinger Operator

作者：Hong Younghun^*

来源：Journal of Fourier Analysis and Applications, 2016, 22(3): 591-622.

DOI：10.1007/s00041-015-9428-8

• Spectral multiplier theorem
• Schrodinger operator
• Schrodinger equation

We establish a Hormander type spectral multiplier theorem for a Schrodinger operator in , provided V is contained in a large class of short range potentials. This result does not require the Gaussian heat kernel estimate for the semigroup , and indeed the operator H may have negative eigenvalues. As an application, we show local well-posedness of a 3d quintic nonlinear Schrodinger equation with a potential.

• 出版日期2016-6