The LEGO Group Report 2014

Using an “energy approach” introduced by Bronsard and Kohn [11] to study slow motion for Allen-Cahn equation and improved by Grant [25] in the study of Cahn-Morral systems, we

Answering a question of de la Harpe and Bridson in the Kourovka Notebook, we build the explicit embeddings of the additive group of rational numbers Q in a finitely generated group

As application of our coarea inequality we answer this question in the case of real valued Lipschitz maps on the Heisenberg group (Theorem 3.11), considering the Q − 1

“Breuil-M´ezard conjecture and modularity lifting for potentially semistable deformations after

discrete ill-posed problems, Krylov projection methods, Tikhonov regularization, Lanczos bidiago- nalization, nonsymmetric Lanczos process, Arnoldi algorithm, discrepancy

We derive the macroscopic mathematical models for seismic wave propagation through these two different media as a homog- enization of the exact mathematical model at the

L. It is shown that the right-sided, left-sided, and symmetric maximal functions of any measurable function can be integrable only simultaneously. The analogous statement is proved

Topological conditions for the existence of a multisymplectic 3- form of type ω (or equivalently of a tangent structure) on a 6-dimensional vector bundle will be the subject of