3 problems

A local lacuna is a neighboring component of the complement of a discriminant function corresponding to a wavefront point, in which the associated wave propagation problem has the…

Consider the positive wavefronts $u(t,x)=\phi_c(x+ct)$ supplied by Theorem 3. The profile $\phi_c$ is eventually monotone at both infinities and non-monotone on $\mathbb{R}$, under…

Let $\operatorname{WF}^{\operatorname{SO}}$ and $\operatorname{WF}^{\operatorname{SE(2)}}$ denote the sub-Riemannian wavefronts in $\operatorname{SO}$ and $\operatorname{SE(2)}$, r…