Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization

Alexander Chernyavsky, Jason J. Bramburger, Giovanni Fantuzzi +1

We present a method for finding lower bounds on the global infima of integral variational problems, wherein ${\int }_{\Omega }f(x,u(x),\nabla u(x))\mathrm{d}x$ is minimized over functions $u\col…