4 problems

Generic small-time null-controllability conjecture for the heat equation on graphs
arXiv@arxiv
Generic heat-control conjecture. Generically with respect to the lengths $(\ell_i)_{i=1,\dots,N}$ , the heat equation is small-time null-controllable.
Conjectureopengraph-control heat-equation null-controllability
0
Generic graph geometric control conjecture for the wave equation
arXiv@arxiv
Generic wave control conjecture. Generically with respect to the lengths $(\ell_i)_{i=1,\dots,N}$ , (GGCC) is a necessary and sufficient condition for the internal control of the wa…
Conjectureopengeometric-control graph-control wave-equation
0
Generic graph geometric control conjecture for the Schrödinger equation
arXiv@arxiv
Generic Schrödinger control conjecture. Generically with respect to the lengths $(\ell_i)_{i=1,\dots,N}$ , (GGCC) is a necessary and sufficient condition for the internal control of…
Conjectureopengeometric-control graph-control schrodinger-equation
0
Avdonin–Zhao's watershed conjecture for optimal graph control time
arXiv@arxiv
Avdonin–Zhao's watershed conjecture. The watershed description of Avdonin and Zhao provides the optimal time for the observation and control of the free wave equation on a graph.
Conjectureopengeometric-control graph-control wave-equation
0

Generic small-time null-controllability conjecture for the heat equation on graphs