Proves orbital stability of dnoidal standing waves with trivial tails on looping-edge graphs for all Z ≠ 0 and existence plus parameter-dependent orbital (in)stability for non-trivial tails when Z < 0.
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Characterizes unitary/contractive extensions of the Airy operator and self-adjoint extensions of the Schrödinger operator on looping-edge graphs via Krein-space boundary techniques.
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Nonlinear Schr\"odinger Equations on looping-edge graphs with $\delta'$-type interactions
Proves orbital stability of dnoidal standing waves with trivial tails on looping-edge graphs for all Z ≠ 0 and existence plus parameter-dependent orbital (in)stability for non-trivial tails when Z < 0.
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Airy and Schr\"odinger-type equations on looping-edge graphs and applications
Characterizes unitary/contractive extensions of the Airy operator and self-adjoint extensions of the Schrödinger operator on looping-edge graphs via Krein-space boundary techniques.