• Krilov solvability of unbounded inverse linear problems 

  Caruso, Noe; Michelangeli, Alessandro (SISSA, 2020-01-23)

  The abstract issue of ‘Krylov solvability’ is extensively discussed for the inverse problem Af = g where A is a (possibly unbounded) linear operator on an infinite-dimensional Hilbert space, and g is a datum in the range ...
• Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators 

  Cornean, Horia D.; Michelangeli, Alessandro; Yajima, Kenji (SISSA, 2019-10-10)
• Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori 

  Fonda, Alessandro; Klun, Giuliano; Sfecci, Andrea (2019-09-12)

  We prove the existence of periodic solutions of some infinite-dimensional nearly integrable Hamiltonian systems, bifurcating from infinite-dimensional tori, by the use of a generalization of the Poincaré–Birkhoff Theorem.
• Convergence of the conjugate gradient method with unbounded operators 

  Caruso, Noe; Michelangeli, Alessandro (2019-08-27)

  In the framework of inverse linear problems on infinite-dimensional Hilbert space, we prove the convergence of the conjugate gradient iterates to an exact solution to the inverse problem in the most general case where the ...
• On the blow-up of GSBV functions under suitable geometric properties of the jump set 

  Tasso, Emanuele (SISSA, 2019-06)

  In this paper we investigate the fine properties of functions under suitable geometric conditions on the jump set. Precisely, given an open set Ω С Rn and given p > 1 we study the blow-up of functions u Є2 GSBV (Ω), whose ...

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