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math.AP2026
On (in)stability of discontinuous standing waves for the NLS with a delta-prime on star graphs
Jaime Angulo Pava, Alexander Muñoz
We investigate the existence and (in)stability of standing waves that are discontinuous at the vertex for the one-dimensional nonlinear Schrödinger equation (NLS) with a power nonl…
math.AP2026
Existence and (in)stability of standing waves for the nonlinear Schrödinger Equations on looping-edge graphs with -type interactions
Jaime Angulo Pava, Alexander Muñoz
In this work, we investigate the existence and orbital (in)stability of several branches of standing--wave solutions for the cubic nonlinear Schrödinger equation (NLS) posed on a l…