The Cauchy problem for 1D nonlinearSchrödinger equations with repulsive delta potential for data in Lp-basedspaces

Key Points

• This research aims to explore the Cauchy problem associated with 1D nonlinear Schrödinger equations under a specific potential.
• Analyzes the behavior of nonlinear Schrödinger equations with a repulsive delta potential.
• Utilizes Lp-based spaces for initial data.
• Examines mathematical properties and solutions to the equations.
• Identifies key characteristics of solutions in Lp-based spaces.
• Demonstrates existence and uniqueness of solutions for certain conditions.
• Highlights the impact of the repulsive delta potential on solution behavior.