Arias Junior, Alexandre; de Lessa Victor, Bruno The Cauchy problem for a class of linear degenerate evolution equations on the torus. (English) Zbl 07933891 J. Math. Anal. Appl. 542, No. 1, Article ID 128751, 38 p. (2025). MSC: 35G16 35C10 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arias Junior, Alexandre; Ascanelli, Alessia; Cappiello, Marco On the Cauchy problem for \(p\)-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness. (English) Zbl 07901386 J. Differ. Equations 405, 220-246 (2024). Reviewer: Michael Reissig (Freiberg) MSC: 35G10 35S05 35B65 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arias Junior, Alexandre; Ascanelli, Alessia; Cappiello, Marco Gevrey well-posedness for 3-evolution equations with variable coefficients. (English) Zbl 1537.35159 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 25, No. 1, 1-31 (2024). MSC: 35G10 35S05 35B65 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arias Junior, Alexandre; Ascanelli, Alessia; Cappiello, Marco KdV-type equations in projective Gevrey spaces. (English. French summary) Zbl 1527.35342 J. Math. Pures Appl. (9) 178, 110-140 (2023). MSC: 35Q53 35Q35 76T10 35G10 35S05 35B65 35A01 35A02 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arias Junior, Alexandre; Ascanelli, Alessia; Cappiello, Marco The Cauchy problem for 3-evolution equations with data in Gelfand-Shilov spaces. (English) Zbl 1491.35365 J. Evol. Equ. 22, No. 2, Paper No. 33, 40 p. (2022). Reviewer: Luigi Rodino (Torino) MSC: 35Q41 35S05 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ascanelli, Alessia; Cappiello, Marco Semilinear \(p\)-evolution equations in weighted Sobolev spaces. (English) Zbl 1461.35107 Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 1-34 (2021). MSC: 35G25 35Q53 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Ascanelli, Alessia The global Cauchy problem for the plate equation in weighted Sobolev spaces. (English) Zbl 1444.35112 Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 41-57 (2020). MSC: 35L30 35B45 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Ascanelli, Alessia; Cappiello, Marco Schrödinger-type equations in Gelfand-Shilov spaces. (English. French summary) Zbl 1427.35223 J. Math. Pures Appl. (9) 132, 207-250 (2019). MSC: 35Q41 35S05 46F05 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ascanelli, Alessia; Cappiello, Marco Weighted energy estimates for \(p\)-evolution equations in SG classes. (English) Zbl 1327.35047 J. Evol. Equ. 15, No. 3, 583-607 (2015). MSC: 35B45 35G10 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv