Evolution variational inequalities with growth conditions in metric spaces
Volume 248 / 2019
Studia Mathematica 248 (2019), 147-169
MSC: Primary 47J20; Secondary 47H20, 49J.
DOI: 10.4064/sm171224-23-5
Published online: 28 March 2019
Abstract
We characterize the existence of integral solutions of evolution variational inequalities satisfying growth conditions in metric spaces. The characterization yields a Chernoff product formula for gradient flows and has an application to homogeneous Cauchy–Neumann problems for porous medium equations.