The Cauchy problem of the Hartree equation in Dunkl setting
Abstract
In this paper, we study the Cauchy problem for the nonlinear Hartree equation associated with Dunkl Laplace operator: {i∂tu(t,x)+Δku(t,x)=(|x|−β∗D|u(t,x)|2)⋅u(t,x),u(0,x)=φ(x)∈Lk2(Rd),where Δk is the Dunkl Laplace operator, and ∗D denotes the Dunkl convolution. For 0
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Nonlinear Partial Differential Equations
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Applicable Analysis
- Volume
- 105
- Issue
- 14
- Pages
- 3144–3175
- Publication date
- 2 March 2026
- Language
- EN