3 papers
math.HO2022
From natural numbers to prime fields and finite fields
Philippe Clément
The aim of this book is to introduce the reader to the beauty of Algebra, through a journey from the natural numbers to prime fields and finite fields, with some detours. Many book…
math.AP2010
A Trotter product formula for gradient flows in metric spaces
Philippe Clément, Jan Maas
We prove a Trotter product formula for gradient flows in metric spaces. This result is applied to establish convergence in the L^2-Wasserstein metric of the splitting method for so…
math.AP2006
On Regions of Existence and Nonexistence of solutions for a System of --Laplacians
Philippe Clement, Marta Garcia-Huidobro, Ignacio Guerra +1
We give a new region of existence of solutions to the superhomogeneous Dirichlet problem $$ \quad \begin{array}{l} -Δ_{p} u= v^δ\quad v>0\quad {in}\quad B,\cr -Δ_{q} v = u^μ\quad u…