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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★ 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…