3 problems

Let $K$ be a strictly convex obstacle with boundary $\Gamma$, let $G$ be the dissipative acoustic operator, and let $\gamma(x)$ satisfy … For the ball $B_3$ and constant $\gamma$ i…

Geometric resonance conjecture. A zero determinant should imply the presence of homogeneous (Rayleigh–Bloch) waves.

Let $A$ be the non-local operator on $L^2[-1,1]^2$ obtained by Fourier transforming the acoustic wave equation along the longitudinal variable $x$, with velocity profile $M(y)$ dep…