On the Schatten exponent in orthonormal Strichartz estimates for the Weinstein operator
Abstract
In this paper, we establish the upper and lower estimates for the Weinstein Gaussian kernel. We then apply a semi-classical approach, based on the coherent states method to establish that the orthonormal Strichartz estimates for the Weinstein-Hermite Schrödinger equation does not hold when the Schatten exponent r>2pd(p+1)d−(p−1)(2α+1). Finally, using the kernel relation between the Weinstein-Hermite Schrödinger semigroup and Weinstein Schrödinger semigroup, we then extend this result to the Weinstein Schrödinger equation.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Spectral Theory in Mathematical Physics
Numerical methods in inverse problems
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Publisher
- Informa UK Limited
- Pages
- 1–25
- Publication date
- 12 January 2026
- Language
- EN