Papers

  1. P. Baldi, A Whitney extension theorem for functions taking values in scales of Banach spaces, J. Funct. Anal. 283 (2022), no. 1, 109492. (pdf)
  2. P. Baldi, E. Haus, Size of data in implicit function problems and singular perturbations for nonlinear Schrödinger systems, Ann. Inst. H. Poincaré (C) Anal. Non Linéaire, in print (arxiv:1906.12290). (pdf)
  3. P. Baldi, E. Haus, Longer lifespan for many solutions of the Kirchhoff equation, SIAM J. Math. Anal. 54 (2022), no. 1, 306-342. (pdf)
  4. P. Baldi, R. Montalto, Quasi-periodic incompressible Euler flows in 3D, Advances in Math. 384 (2021), 107730. (pdf)
  5. P. Baldi, E. Haus, On the normal form of the Kirchhoff equation, J. Dyn. Diff. Equat. 33 (2021), 1203-1230, special issue in memory of Walter Craig. (pdf)
  6. P. Baldi, E. Haus, On the existence time for the Kirchhoff equation with periodic boundary conditions, Nonlinearity 33 (2020), no. 1, 196-223. (pdf)
  7. P. Baldi, E. Haus, C. Mantegazza, Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature, Math. Annalen 375 (2019), 1857-1881. (pdf)
  8. P. Baldi, M. Berti, E. Haus, R. Montalto, Time quasi-periodic gravity water waves in finite depth, Invent. math. 214 (2018), no. 2, 739-911. (pdf) (full-text read-only version by Springer Nature SharedIt)
  9. P. Baldi, E. Haus, C. Mantegazza, Non-existence of theta-shaped self-similarly shrinking networks moving by curvature, Comm. Partial Differential Equations 43 (2018), no. 3, 403-427. (pdf)
  10. T. Alazard, P. Baldi, D. Han-Kwan, Control of water waves, J. Eur. Math. Soc. (JEMS) 20 (2018), no. 3, 657-745. (pdf)
  11. P. Baldi, E. Haus, R. Montalto, Controllability of quasi-linear Hamiltonian NLS equations, J. Differential Equations 264 (2018), no. 3, 1786-1840. (pdf)
  12. P. Baldi, E. Haus, A Nash-Moser-Hörmander implicit function theorem with applications to control and Cauchy problems for PDEs, J. Funct. Anal. 273 (2017), no. 12, 3875-3900. (pdf)
  13. P. Baldi, G. Floridia, E. Haus, Exact controllability for quasi-linear perturbations of KdV, Anal. PDE 10 (2017), no. 2, 281-322. (pdf)
  14. P. Baldi, M. Berti, R. Montalto, KAM for autonomous quasi-linear perturbations of KdV, Ann. Inst. H. Poincaré (C) Anal. Non Linéaire 33 (2016), no. 6, 1589-1638. (pdf), (open access link)
  15. P. Baldi, M. Berti, R. Montalto, KAM for autonomous quasi-linear perturbations of mKdV, Boll. Unione Mat. Ital. 9 (2016), no. 2, 143-188. (pdf)
  16. T. Alazard, P. Baldi, Gravity capillary standing water waves, Arch. Ration. Mech. Anal. 217 (2015), no. 3, 741-830. (pdf)
  17. P. Baldi, M. Berti, R. Montalto, KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation, Math. Annalen 359 (2014), no. 1-2, 471-536. (pdf)
  18. P. Baldi, Periodic solutions of fully nonlinear autonomous equations of Benjamin-Ono type, Ann. Inst. H. Poincaré (C) Anal. Non Linéaire 30 (2013), no. 1, 33-77. (pdf)
  19. P. Baldi, J. Toland, Steady periodic water waves under nonlinear elastic membranes, J. Reine Angew. Math. 652 (2011), 67-112. (pdf)
  20. P. Baldi, J. Toland, Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves, Interfaces Free Bound. 12 (2010), no. 1, 1-22. (pdf)
  21. P. Baldi, Periodic solutions of forced Kirchhoff equations, Ann. Sc. Norm. Sup. Pisa, Cl. Sci. (5), Vol. 8 (2009), no. 1, 117-141. (pdf)
  22. P. Baldi, M. Berti, Forced vibrations of a nonhomogeneous string, SIAM J. Math. Anal. 40 (2008), no. 1, 382-412. (pdf)
  23. P. Baldi, M. Berti, Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies, Rend. Lincei Mat. Appl. 17 (2006), no. 3, 257-277. (pdf)
  24. P. Baldi, Quasi-periodic solutions of the equation v_{tt} - v_{xx} + v^3 = f(v), Discr. Cont. Dynam. Systems 15 (2006), no. 3, 883-903. (pdf)

    25. Expository papers

  25. P. Baldi, M. Berti, E. Haus, R. Montalto, KAM for gravity water waves in finite depth, Rend. Lincei Mat. Appl. 29 (2018), no. 2, 215-236. (pdf)
  26. P. Baldi, E. Haus, C. Mantegazza, On the Classification of Networks Self-Similarly Moving by Curvature, Geometric Flows 2 (2017), no. 1, 125-137. (pdf)
  27. P. Baldi, E. Haus, C. Mantegazza, Networks self-similarly moving by curvature with two triple junctions, Rend. Lincei Mat. Appl. 28 (2017), no. 2, 323-338. (pdf)
  28. P. Baldi, M. Berti, R. Montalto, KAM for quasi-linear KdV, C. R. Acad. Sci. Paris, Ser. I 352 (2014), no. 7-8, 603-607. (pdf)
  29. P. Baldi, M. Berti, R. Montalto, A note on KAM theory for quasi-linear and fully nonlinear forced KdV, Rend. Lincei Mat. Appl. 24 (2013), no. 3, 437-450. (pdf)

(update 25/01/2022)

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