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4 papers · 2 filters
Striped periodic minimizers of a two-dimensional model for martensitic phase transitions
Alessandro Giuliani, Stefan Mueller
In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a re…
Perturbations of eigenvalues embedded at threshold: one, two and three dimensional solvable models
Claudio Cacciapuoti, Raffaele Carlone, Rodolfo Figari
We examine perturbations of eigenvalues and resonances for a class of multi-channel quantum mechanical model-Hamiltonians describing a particle interacting with a localized spin in…
Fast solitons on star graphs
Riccardo Adami, Claudio Cacciapuoti, Domenico Finco +1
We define the Schrödinger equation with focusing, cubic nonlinearity on one-vertex graphs. We prove global well-posedness in the energy domain and conservation laws for some self-a…
Singular perturbations with boundary conditions and the Casimir effect in the half space
S. Albeverio, G. Cognola, M. Spreafico +1
We study the self adjoint extensions of a class of non maximal multiplication operators with boundary conditions. We show that these extensions correspond to singular rank one pert…