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math.AP2025
Exploring the Pseudo-modes of Schrödinger Operators with Complex Potentials: A Focus on Resolvent Norm Estimates and Spectral Stability
Sameh Gana
This paper aims to investigate the pseudo-modes of the one-dimensional Schrödinger operator with complex potentials, focusing on the behavior of the resolvent norm along specific c…
math.AP2023★ 30 cited
Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches
Noureddine Mhadhbi, Sameh Gana, Mazen Fawaz Alsaeedi
This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to deri…
math.AP2023★ 1 cited
Classes of second order nonlinear partial differential equations reducible to first order
Noureddine Mhadhbi, Sameh Gana, Hamad Khalid Alharbi
In this paper, we present new techniques for solving a large variety of partial differential equations. The proposed method reduces the PDEs to first order differential equations k…