Affiliation:
1. Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco
2. Superior School of Technology, Sultan Moulay Slimane University, Khenifra, Morocco
Abstract
This manuscript aims to highlight the existence and uniqueness results for the following Schrödinger problem in the extended Colombeau algebra of generalized functions.
where
is the Dirac distribution. The proofs of our main results are based on the Gronwall inequality and regularization method. We conclude our article by establishing the association concept of solutions.
Subject
Applied Mathematics,Analysis