The rate of convergence of the Lax-Oleinik semigroup-degenerate fixed point case
KZ Wang, J Yan - Science China Mathematics, 2011 - Springer
KZ Wang, J Yan
Science China Mathematics, 2011•SpringerFor the standard Lagrangian in classical mechanics, which is defined as the kinetic energy
of the system minus its potential energy, we study the rate of convergence of the
corresponding Lax-Oleinik semigroup. Under the assumption that the unique global
minimum point of the Lagrangian is a degenerate fixed point, we provide an upper bound
estimate of the rate of convergence of the semigroup.
of the system minus its potential energy, we study the rate of convergence of the
corresponding Lax-Oleinik semigroup. Under the assumption that the unique global
minimum point of the Lagrangian is a degenerate fixed point, we provide an upper bound
estimate of the rate of convergence of the semigroup.
Abstract
For the standard Lagrangian in classical mechanics, which is defined as the kinetic energy of the system minus its potential energy, we study the rate of convergence of the corresponding Lax-Oleinik semigroup. Under the assumption that the unique global minimum point of the Lagrangian is a degenerate fixed point, we provide an upper bound estimate of the rate of convergence of the semigroup.
Springer
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