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Convex Relaxations of Integral Variational Problems: Pointwise Dual Relaxation and Sum-of-Squares Optimization
We present a method for finding lower bounds on the global infima of integral variational problems, wherein Ω f (x, u(x), ∇u(x))dx is minimized over functions u : Ω ⊂ R n → R m satisfying given equality or inequality constraints.Each constraint may be imposed over Ω or its boundary, …