Junior, Alexandre Arias; Ascanelli, Alessia; Cappiello, Marco; Garetto, Claudia Schrödinger type equations with singular coefficients and lower order terms. arXiv:2402.07826 Preprint, arXiv:2402.07826 [math.AP] (2024). MSC: 35J10 35D99 BibTeX Cite \textit{A. A. Junior} et al., ``Schr\"odinger type equations with singular coefficients and lower order terms'', Preprint, arXiv:2402.07826 [math.AP] (2024) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{A. Arias Junior} et al., J. Math. Pures Appl. (9) 178, 110--140 (2023; Zbl 1527.35342) Full Text: DOI arXiv
Junior, Alexandre Arias; Ascanelli, Alessia; Cappiello, Marco On the Cauchy problem for \(p\)-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness. arXiv:2309.05571 Preprint, arXiv:2309.05571 [math.AP] (2023). MSC: 35G10 35S05 35B65 46F05 BibTeX Cite \textit{A. A. Junior} et al., ``On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness'', Preprint, arXiv:2309.05571 [math.AP] (2023) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{A. Arias Junior} et al., J. Evol. Equ. 22, No. 2, Paper No. 33, 40 p. (2022; Zbl 1491.35365) Full Text: DOI arXiv
Ascanelli, Alessia; Coriasco, Sandro; Süß, André Solution theory to semilinear stochastic equations of Schrödinger type on curved spaces I – Operators with uniformly bounded coefficients. arXiv:2207.08428 Preprint, arXiv:2207.08428 [math.AP] (2022). MSC: 35R60 60H15 35Q40 BibTeX Cite \textit{A. Ascanelli} et al., ``Solution theory to semilinear stochastic equations of Schr\"odinger type on curved spaces I -- Operators with uniformly bounded coefficients'', Preprint, arXiv:2207.08428 [math.AP] (2022) Full Text: arXiv OA License
Ascanelli, Alessia; Coriasco, Sandro; Süß, André Random-field solutions of linear parabolic stochastic partial differential equations with polynomially bounded variable coefficients. (English) Zbl 1461.35253 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, 35-62 (2021). MSC: 35R60 35K15 35A08 35B65 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., Springer INdAM Ser. 43, 35--62 (2021; Zbl 1461.35253) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, Springer INdAM Ser. 43, 1--34 (2021; Zbl 1461.35107) Full Text: DOI
Junior, Alexandre Arias; Ascanelli, Alessia; Cappiello, Marco Gevrey well posedness for \(3\)-evolution equations with variable coefficients. arXiv:2106.09511 Preprint, arXiv:2106.09511 [math.AP] (2021). MSC: 35G10 35S05 35B65 46F05 BibTeX Cite \textit{A. A. Junior} et al., ``Gevrey well posedness for $3$-evolution equations with variable coefficients'', Preprint, arXiv:2106.09511 [math.AP] (2021) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{A. Ascanelli}, in: 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. 41--57 (2020; Zbl 1444.35112) Full Text: DOI
Ascanelli, Alessia; Cicognani, Massimo; Reissig, Michael The interplay between decay of the data and regularity of the solution in Schrödinger equations. (English) Zbl 1442.35361 Ann. Mat. Pura Appl. (4) 199, No. 4, 1649-1671 (2020). MSC: 35Q41 35B65 35R25 35A01 35A02 35S05 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., Ann. Mat. Pura Appl. (4) 199, No. 4, 1649--1671 (2020; Zbl 1442.35361) Full Text: DOI
Ascanelli, Alessia; Coriasco, Sandro; Süss, André Random-field solutions of weakly hyperbolic stochastic partial differential equations with polynomially bounded coefficients. (English) Zbl 1452.35263 J. Pseudo-Differ. Oper. Appl. 11, No. 1, 387-424 (2020). Reviewer: Luigi Rodino (Torino) MSC: 35R60 35L10 60H15 35L40 35S30 35A08 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., J. Pseudo-Differ. Oper. Appl. 11, No. 1, 387--424 (2020; Zbl 1452.35263) Full Text: DOI
Abdeljawad, Ahmed; Ascanelli, Alessia; Coriasco, Sandro Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on \(\mathbb{R}^n\). (English) Zbl 1477.58015 Monatsh. Math. 192, No. 1, 1-38 (2020). Reviewer: Veronique Fischer (Bath) MSC: 58J40 35S05 35S30 47G30 58J45 PDFBibTeX XMLCite \textit{A. Abdeljawad} et al., Monatsh. Math. 192, No. 1, 1--38 (2020; Zbl 1477.58015) Full Text: DOI arXiv
Ascanelli, Alessia; Coriasco, Sandro; Suß, André Solution theory to semilinear parabolic stochastic partial differential equations with polynomially bounded coefficients. arXiv:2010.07087 Preprint, arXiv:2010.07087 [math.PR] (2020). MSC: 35L10 60H15 BibTeX Cite \textit{A. Ascanelli} et al., ``Solution theory to semilinear parabolic stochastic partial differential equations with polynomially bounded coefficients'', Preprint, arXiv:2010.07087 [math.PR] (2020) Full Text: arXiv OA License
Ascanelli, Alessia; Coriasco, Sandro; Süß, André Solution theory to semilinear hyperbolic stochastic partial differential equations with polynomially bounded coefficients. (English) Zbl 1427.35376 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111574, 34 p. (2019). MSC: 35R60 35S30 35L10 60H15 35L40 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111574, 34 p. (2019; Zbl 1427.35376) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, J. Math. Pures Appl. (9) 132, 207--250 (2019; Zbl 1427.35223) Full Text: DOI arXiv
Ascanelli, Alessia; Süß, André Random-field solutions to linear hyperbolic stochastic partial differential equations with variable coefficients. (English) Zbl 1388.60104 Stochastic Processes Appl. 128, No. 8, 2605-2641 (2018). MSC: 60H15 35L10 35L40 35S30 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{A. Süß}, Stochastic Processes Appl. 128, No. 8, 2605--2641 (2018; Zbl 1388.60104) Full Text: DOI arXiv
Ascanelli, Alessia; Coriasco, Sandro; Süß, André On temperate distributions decaying at infinity. (English) Zbl 1390.35451 Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 1-18 (2017). MSC: 35S30 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., Oper. Theory: Adv. Appl. 260, 1--18 (2017; Zbl 1390.35451) Full Text: DOI
Ascanelli, Alessia; Boiti, Chiara; Zanghirati, Luisa A necessary condition for \(H^\infty \) well-posedness of \(p\)-evolution equations. (English) Zbl 1375.35090 Adv. Differ. Equ. 21, No. 11-12, 1165-1196 (2016). MSC: 35G10 35A27 35B30 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., Adv. Differ. Equ. 21, No. 11--12, 1165--1196 (2016; Zbl 1375.35090) Full Text: arXiv Euclid
Ascanelli, Alessia; Boiti, Chiara Semilinear \(p\)-evolution equations in Sobolev spaces. (English) Zbl 1336.35117 J. Differ. Equations 260, No. 10, 7563-7605 (2016). MSC: 35G25 46A61 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{C. Boiti}, J. Differ. Equations 260, No. 10, 7563--7605 (2016; Zbl 1336.35117) Full Text: DOI arXiv
Ascanelli, Alessia; Coriasco, Sandro Fourier integral operators algebra and fundamental solutions to hyperbolic systems with polynomially bounded coefficients on \(\mathbb R^n\). (English) Zbl 1338.35522 J. Pseudo-Differ. Oper. Appl. 6, No. 4, 521-565 (2015). MSC: 35S30 58J45 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{S. Coriasco}, J. Pseudo-Differ. Oper. Appl. 6, No. 4, 521--565 (2015; Zbl 1338.35522) 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 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, J. Evol. Equ. 15, No. 3, 583--607 (2015; Zbl 1327.35047) Full Text: DOI arXiv
Ascanelli, Alessia; Boiti, Chiara Well-posedness for a generalized Boussinesq equation. (English) Zbl 1327.35069 Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 193-202 (2015). MSC: 35G25 35Q35 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{C. Boiti}, in: Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5--9, 2013. Cham: Birkhäuser/Springer. 193--202 (2015; Zbl 1327.35069) Full Text: DOI
Ascanelli, Alessia; Boiti, Chiara; Zanghirati, Luisa Well-posedness in Sobolev spaces for semi-linear 3-evolution equations. (English) Zbl 1311.35061 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 5-21 (2014). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35G25 35A27 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 5--21 (2014; Zbl 1311.35061) Full Text: DOI
Ascanelli, Alessia; Boiti, Chiara Cauchy problem for higher order \(p\)-evolution equations. (English) Zbl 1292.35094 J. Differ. Equations 255, No. 9, 2672-2708 (2013). Reviewer: Michael Reissig (Freiberg) MSC: 35G10 35S10 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{C. Boiti}, J. Differ. Equations 255, No. 9, 2672--2708 (2013; Zbl 1292.35094) Full Text: DOI arXiv
Ascanelli, Alessia; Boiti, Chiara Well-posedness of the Cauchy problem for \(p\)-evolution systems of pseudo-differential operators. (English) Zbl 1302.35494 J. Pseudo-Differ. Oper. Appl. 4, No. 2, 113-143 (2013). MSC: 35S10 35F40 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{C. Boiti}, J. Pseudo-Differ. Oper. Appl. 4, No. 2, 113--143 (2013; Zbl 1302.35494) Full Text: DOI
Ascanelli, Alessia; Boiti, Chiara; Zanghirati, Luisa Well-posedness of the Cauchy problem for \(p\)-evolution equations. (English) Zbl 1252.35127 J. Differ. Equations 253, No. 10, 2765-2795 (2012). MSC: 35G10 35A27 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., J. Differ. Equations 253, No. 10, 2765--2795 (2012; Zbl 1252.35127) Full Text: DOI
Ascanelli, Alessia; Cappiello, Marco The Cauchy problem for finitely degenerate hyperbolic equations with polynomial coefficients. (English) Zbl 1195.35197 Osaka J. Math. 47, No. 2, 423-438 (2010). MSC: 35L15 35A01 35L80 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, Osaka J. Math. 47, No. 2, 423--438 (2010; Zbl 1195.35197) Full Text: Euclid
Ascanelli, A.; Cicognani, M. Gevrey solutions for a vibrating beam equation. (English) Zbl 1186.35254 Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 151-164 (2009). MSC: 35S11 35J10 35Q74 74K10 35A22 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cicognani}, Rend. Semin. Mat., Univ. Politec. Torino 67, No. 2, 151--164 (2009; Zbl 1186.35254) Full Text: Link
Ascanelli, Alessia; Cicognani, Massimo; Colombini, Ferruccio The global Cauchy problem for a vibrating beam equation. (English) Zbl 1201.35124 J. Differ. Equations 247, No. 5, 1440-1451 (2009). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35L35 74K10 74H45 35L77 PDFBibTeX XMLCite \textit{A. Ascanelli} et al., J. Differ. Equations 247, No. 5, 1440--1451 (2009; Zbl 1201.35124) Full Text: DOI
Ascanelli, Alessia; Cappiello, Marco Hölder continuity in time for SG hyperbolic systems. (English) Zbl 1165.35030 J. Differ. Equations 244, No. 8, 2091-2121 (2008). Reviewer: K. Kajitani (Ibaraki) MSC: 35L45 35B65 35S10 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, J. Differ. Equations 244, No. 8, 2091--2121 (2008; Zbl 1165.35030) Full Text: DOI
Ascanelli, Alessia; Cicognani, Massimo Propagation of singularities in the Cauchy problem for a class of degenerate hyperbolic operators. (English) Zbl 1156.35006 J. Math. Anal. Appl. 341, No. 1, 694-706 (2008). Reviewer: Michael Reissig (Freiberg) MSC: 35A21 35L25 35L80 35S30 35A08 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cicognani}, J. Math. Anal. Appl. 341, No. 1, 694--706 (2008; Zbl 1156.35006) Full Text: DOI
Ascanelli, Alessia The Cauchy problem for a weakly hyperbolic equation with unbounded and non-Lipschitz-continuous coefficients. (English) Zbl 1212.35282 Differ. Integral Equ. 20, No. 4, 467-480 (2007). MSC: 35L15 35L80 PDFBibTeX XMLCite \textit{A. Ascanelli}, Differ. Integral Equ. 20, No. 4, 467--480 (2007; Zbl 1212.35282)
Ascanelli, Alessia Well posedness under Levi conditions for a degenerate second order Cauchy problem. (English) Zbl 1146.35054 Rend. Semin. Mat. Univ. Padova 117, 113-126 (2007). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L15 35A20 35B30 PDFBibTeX XMLCite \textit{A. Ascanelli}, Rend. Semin. Mat. Univ. Padova 117, 113--126 (2007; Zbl 1146.35054) Full Text: EuDML
Ascanelli, Alessia; Cicognani, Massimo Schrödinger equations of higher order. (English) Zbl 1127.35004 Math. Nachr. 280, No. 7, 717-727 (2007). Reviewer: Michael Reissig (Freiberg) MSC: 35F10 35J10 35G10 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cicognani}, Math. Nachr. 280, No. 7, 717--727 (2007; Zbl 1127.35004) Full Text: DOI
Ascanelli, Alessia; Cicognani, Massimo The fundamental solution for a second order weakly hyperbolic Cauchy problem. (English) Zbl 1132.35052 Padula, Mariarosaria (ed.) et al., Hyperbolic problems and regularity questions. Basel: Birkhäuser (ISBN 978-3-7643-7450-1/hbk; 978-3-7643-7451-8/pbk). Trends in Mathematics, 17-25 (2007). Reviewer: K. Kajitani (Ibaraki) MSC: 35L15 35L80 35A08 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cicognani}, in: Hyperbolic problems and regularity questions. Basel: Birkhäuser. 17--25 (2007; Zbl 1132.35052)
Ascanelli, Alessia A degenerate hyperbolic equation under Levi conditions. (English) Zbl 1138.35067 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 199-209 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L80 35L15 PDFBibTeX XMLCite \textit{A. Ascanelli}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 199--209 (2006; Zbl 1138.35067) Full Text: DOI
Ascanelli, Alessia Gevrey well posedness for a second order weakly hyperbolic equation with non regular in time coefficients. (English) Zbl 1133.35072 Tsukuba J. Math. 30, No. 2, 415-431 (2006). Reviewer: Otto Liess (Bologna) MSC: 35L80 35L10 PDFBibTeX XMLCite \textit{A. Ascanelli}, Tsukuba J. Math. 30, No. 2, 415--431 (2006; Zbl 1133.35072) Full Text: DOI
Ascanelli, Alessia; Cappiello, Marco Log-Lipschitz regularity for SG hyperbolic systems. (English) Zbl 1121.35147 J. Differ. Equations 230, No. 2, 556-578 (2006). Reviewer: Luigi Rodino (Torino) MSC: 35S05 35L15 35L80 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cappiello}, J. Differ. Equations 230, No. 2, 556--578 (2006; Zbl 1121.35147) Full Text: DOI
Ascanelli, Alessia; Cicognani, Massimo Well-posedness of the Cauchy problem for some degenerate hyperbolic operators. (English) Zbl 1101.35058 Boggiatto, Paolo (ed.) et al., Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Basel: Birkhäuser (ISBN 3-7643-7513-2/hbk). Operator Theory: Advances and Applications 164, 23-41 (2006). Reviewer: Luigi Rodino (Torino) MSC: 35L80 35L15 35S05 35A05 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cicognani}, Oper. Theory: Adv. Appl. 164, 23--41 (2006; Zbl 1101.35058)
Ascanelli, Alessia The Cauchy problem for quasilinear hyperbolic equations with non-absolutely continuous coefficients in the time variable. (English) Zbl 1122.35083 Adv. Differ. Equ. 10, No. 10, 1165-1181 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L80 35L75 35L30 PDFBibTeX XMLCite \textit{A. Ascanelli}, Adv. Differ. Equ. 10, No. 10, 1165--1181 (2005; Zbl 1122.35083)
Ascanelli, Alessia; Cicognani, Massimo Energy estimate and fundamental solution for degenerate hyperbolic Cauchy problems. (English) Zbl 1087.35066 J. Differ. Equations 217, No. 2, 305-340 (2005). Reviewer: Michael Reissig (Freiberg) MSC: 35L80 35L15 35A21 PDFBibTeX XMLCite \textit{A. Ascanelli} and \textit{M. Cicognani}, J. Differ. Equations 217, No. 2, 305--340 (2005; Zbl 1087.35066) Full Text: DOI
Ascanelli, Alessia The Cauchy problem for a class of \(p\)-evolution equations. (English) Zbl 1064.35037 Far East J. Appl. Math. 15, No. 2, 171-184 (2004). MSC: 35G10 35A07 35L25 35B30 PDFBibTeX XMLCite \textit{A. Ascanelli}, Far East J. Appl. Math. 15, No. 2, 171--184 (2004; Zbl 1064.35037)
Ascanelli, Alessia Quasilinear hyperbolic operators with log-Lipschitz coefficients. (English) Zbl 1068.35076 J. Math. Anal. Appl. 295, No. 1, 70-79 (2004). Reviewer: K. Kajitani (Ibaraki) MSC: 35L75 35L30 35A05 PDFBibTeX XMLCite \textit{A. Ascanelli}, J. Math. Anal. Appl. 295, No. 1, 70--79 (2004; Zbl 1068.35076) Full Text: DOI