• 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 ...
• On the approximation of quasistatic evolutions for the debonding of a thin film viavanishing inertia and viscosity 

  Riva, Filippo (2019-06-24)

  In this paper we contribute to studying the issue of quasistatic limit in the context of Griffith’s theory by investigating a one-dimensional debonding model. It describes the evolution of a thin film partially glued to ...
• A dynamic model for viscoelastic materials with prescribed growing cracks 

  Caponi, Maicol; Sapio, Francesco (2019-04-30)

  In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time-dependent cracked domains, with possibly degenerate viscosity coefficients. Under stronger regularity assumptions we ...

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