Lagrangian boundary condition
= Lagrangian boundary condition
{c}
{title2=$u(s,i)\in L_i$}
A Lagrangian boundary condition for a <J-holomorphic curve> requires specified boundary components of the source to map into specified <Lagrangian submanifolds>. For the strip, this is $u(s,0)\in L_0$ and $u(s,1)\in L_1$. For a <compatible almost complex structure> these target submanifolds are totally real. The condition accompanies the interior equation $u_s+Ju_t=0$.