A second-order elastic flow for path planning in $\mathbb{R}^2$

Smoothness and regularity of solutions to PDEs (35B65) Curves in Euclidean and related spaces (53A04) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

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A second-order elastic flow for path planning in \(\mathbb{R}^2\)