The local-exploration conjecture for viscous evolution
Let yτk−1∈W1,p(Ω;Rd)y^{k-1}_{\tau}\in W^{1,p}(\Omega;\mathbb{R}^d)yτk−1∈W1,p(Ω;Rd) satisfy yτk−1=yDy^{k-1}_{\tau}=y_Dyτk−1=yD on ΓD\Gamma_DΓD, and consider the incremental problem of minimizing … subject to…