Erratum to: A Trotter product formula for gradient flows in metric spaces
نویسندگان
چکیده
منابع مشابه
Gradient flows in asymmetric metric spaces
This article is concerned with gradient flows in asymmetric metric spaces, that is, spaces with a topology induced by an asymmetric metric. Such asymmetry appears naturally in many applications, e.g., in mathematical models for materials with hysteresis. A framework of asymmetric gradient flows is established under the assumption that the metric is weakly lower semicontinuous in the second argu...
متن کاملTrotter-Kato product formula for unitary groups
Let A and B be non-negative self-adjoint operators in a separable Hilbert space such that its form sum C is densely defined. It is shown that the Trotter product formula holds for imaginary times in the L-norm, that is, one has
متن کاملA Quantum Stochastic Lie-trotter Product Formula
A Trotter product formula is established for unitary quantum stochastic processes governed by quantum stochastic differential equations with constant bounded coefficients.
متن کاملGlobal Attractors for Gradient Flows in Metric Spaces
We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with the notion of curves of maximal slope of [AGS05], we introduce the latter to include limits of time-incremental approximations constructed via the Minimizing...
متن کاملOn Error Estimates for the Trotter-kato Product Formula
We study the error bound in the operator norm topology for the Trotter exponential product formula as well as for its generalization a la Kato. In the frame of the abstract setting we give a simple proof of error estimates which improve some of recent results in this direction.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2013
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-012-0173-z