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math-ph2011
A note on the extension of the Dirac method
D. Babusci, G. Dattoli, M. Quattromini +1
In this note we extend the Dirac method to partial differential equations involving higher order roots of differential operators.
math-ph2010★ 79 cited
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…