1,720,997 research outputs found
On the weighted inertia-energy approach to forced wave equations
We show convergence of minimizers of weighted inertia-energy functionals to solutions of initial value problems for a class of nonlinear wave equations. The result is given for the nonhomogeneous case under a natural growth assumption on the forcing term.(c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/)
Some applications of optimal transport theory to evolution and shape optimization problems
Linearization of elasticity models for incompressible materials
We obtain linear elasticity as Γ-limit of finite elasticity under incompressibility
assumption and Dirichlet boundary conditions. The result is shown for a large class of energy
densities for rubber-like materials
On uniform continuity of posterior distributions
In the setting of dominated statistical models, we provide conditions yielding strong continuity of the posterior distribution with respect to the observed data. We show some applications, with special focus on exponential models
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