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math.AP2013
Regularity of the obstacle problem for the parabolic biharmonic equation
Matteo Novaga, Shinya Okabe
We study the regularity of solutions to the obstacle problem for the parabolic biharmonic equation. We analyze the problem via an implicit time discretization, and we prove some re…
math.AP2013★ 1 cited
Convergence to equilibrium of gradient flows defined on planar curves
Matteo Novaga, Shinya Okabe
We consider the evolution of open planar curves by the steepest descent flow of a geometric functional, under different boundary conditions. We prove that, if any set of stationary…
math.AP2013★ 1 cited
Curve shortening-straightening flow for non-closed planar curves with infinite length
Matteo Novaga, Shinya Okabe
We consider a motion of non-closed planar curves with infinite length. The motion is governed by a steepest descent flow for the geometric functional which consists of the sum of t…