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Conjecture on negativity of eigenvalues for a coupled elliptic system
Let $H$ act on $L^2((0,\pi),\mathbf C^2)$ by … with boundary conditions $f_1(0)=0$ , $f_2'(0)=0$ , $\cos(\theta)f_1(\pi)+\sin(\theta)f_2(\pi)=0$ , and…
Conjectureopenelliptic-systems nonselfadjoint-operators spectral-theoryarXiv posted 2 days ago

Conjecture on negativity of eigenvalues for a coupled elliptic system