Cappiello, Marco; D’Ancona, Piero; Nicola, Fabio On the radius of spatial analyticity for semilinear symmetric hyperbolic systems. (English) Zbl 1286.35155 J. Differ. Equations 256, No. 7, 2603-2618 (2014). MSC: 35L45 35A20 35S10 35Q35 35L60 35A21 35Q41 PDFBibTeX XMLCite \textit{M. Cappiello} et al., J. Differ. Equations 256, No. 7, 2603--2618 (2014; Zbl 1286.35155) Full Text: DOI arXiv
D’Ancona, Piero; Georgiev, Vladimir Wave maps and ill-posedness of their Cauchy problem. (English) Zbl 1130.35087 Reissig, Michael (ed.) et al., New trends in the theory of hyperbolic equations. Basel: Birkhäuser (ISBN 3-7643-7283-4/hbk). Operator Theory: Advances and Applications 159, 1-111 (2005). MSC: 35L05 35-02 35J10 35P25 35L20 35L70 35R25 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{V. Georgiev}, Oper. Theory: Adv. Appl. 159, 1--111 (2005; Zbl 1130.35087) Full Text: DOI
D’Ancona, Piero Instability for geometric wave equations. (English) Zbl 1076.35127 Phase space analysis of partial differential equations. Vol. I. Proceedings of the research trimester, Centro di Ricerca Matematica “Ennio de Giorgi”, Pisa, Italy, February 15–May 15, 2004. Pisa: Scuola Normale Superiore (ISBN 88-7642-150-5/pbk). Pubblicazioni del Centro di Ricerca Matematica Ennio de Giorgi, 155-174 (2004). MSC: 35R25 35L70 35L15 35Q53 PDFBibTeX XMLCite \textit{P. D'Ancona}, in: Phase space analysis of partial differential equations. Vol. I. Proceedings of the research trimester, Centro di Ricerca Matematica ``Ennio de Giorgi'', Pisa, Italy, February 15--May 15, 2004. Pisa: Scuola Normale Superiore. 155--174 (2004; Zbl 1076.35127)
d’Ancona, Piero; Georgiev, Vladimir Low regularity solutions for the wave map equation into the 2-D sphere. (English) Zbl 1063.35103 Math. Z. 248, No. 2, 227-266 (2004). Reviewer: Mihai Pascu (Bucureşti) MSC: 35L15 35L70 58J45 PDFBibTeX XMLCite \textit{P. d'Ancona} and \textit{V. Georgiev}, Math. Z. 248, No. 2, 227--266 (2004; Zbl 1063.35103) Full Text: DOI
D’Ancona, Piero; Georgiev, Vladimir Recent ill-posedness results for the wave map system in critical spaces. (English) Zbl 1050.35132 Colombini, Ferruccio (ed.) et al., Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10–14, 2002. Somerville, MA: International Press (ISBN 1-57146-150-7/pbk). Grad. Ser. Anal., 137-146 (2003). Reviewer: Zhang Wanguo (Shanghai) MSC: 35R25 35L70 58J45 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{V. Georgiev}, in: Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10--14, 2002. Somerville, MA: International Press. 137--146 (2003; Zbl 1050.35132)
D’Ancona, Piero; Georgiev, Vladimir On Lipschitz continuity of the solution map for two-dimensional wave maps. (English) Zbl 1029.35155 Picard, Rainer (ed.) et al., Evolution equations. Propagation phenomena, global existence, influence on non-linearities. Based on the workshop, Warsaw, Poland, July 1-July 7, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 60, 95-103 (2003). MSC: 35L15 35B30 35L70 35L55 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{V. Georgiev}, Banach Cent. Publ. 60, 95--103 (2003; Zbl 1029.35155) Full Text: Link
Di Flaviano, Mariagrazia; D’Ancona, Piero On a weakly hyperbolic quasilinear mixed problem of second order. (English) Zbl 1072.35128 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 2, 251-267 (2001). Reviewer: Rainer Picard (Dresden) MSC: 35L80 35L20 35L70 PDFBibTeX XMLCite \textit{M. Di Flaviano} and \textit{P. D'Ancona}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 2, 251--267 (2001; Zbl 1072.35128) Full Text: Numdam EuDML
D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo Weighted decay estimates for the wave equation. (English) Zbl 0995.35011 J. Differ. Equations 177, No. 1, 146-208 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35B45 35L05 35L15 35L70 35B40 46N20 PDFBibTeX XMLCite \textit{P. D'Ancona} et al., J. Differ. Equations 177, No. 1, 146--208 (2001; Zbl 0995.35011) Full Text: DOI
D’Ancona, Piero; Di Giuseppe, Alessandra Global existence with large data for a nonlinear weakly hyperbolic equation. (English) Zbl 0994.35093 Math. Nachr. 231, 5-23 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{A. Di Giuseppe}, Math. Nachr. 231, 5--23 (2001; Zbl 0994.35093) Full Text: DOI
D’Ancona, P.; Georgiev, V.; Kubo, H. Weighted Strichartz estimate for the wave equation and low regularity solutions. (English) Zbl 0984.35037 Rend. Ist. Mat. Univ. Trieste 31, Suppl. 2, 51-61 (2000). MSC: 35B45 35L05 35L70 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona} et al., Rend. Ist. Mat. Univ. Trieste 31, 51--61 (2000; Zbl 0984.35037)
D’Ancona, Piero; Di Flaviano, Mariagrazia An abstract degenerate hyperbolic equation with application to mixed problems. (English) Zbl 0974.35081 Hokkaido Math. J. 29, No. 2, 315-328 (2000). Reviewer: Wenming Bian (Glasgow) MSC: 35L90 35L80 35L70 35L20 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{M. Di Flaviano}, Hokkaido Math. J. 29, No. 2, 315--328 (2000; Zbl 0974.35081) Full Text: DOI
D’Ancona, Piero; Georgiev, Vladimir; Kubo, Hideo Weighted Strichartz estimate for the wave equation. (English. Abridged French version) Zbl 0946.35016 C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 5, 349-354 (2000). MSC: 35B45 35L05 35L70 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 5, 349--354 (2000; Zbl 0946.35016) Full Text: DOI
D’Ancona, Piero; Racke, Reinhard Weakly hyperbolic equations in domains with boundaries. (English) Zbl 0933.34067 Nonlinear Anal., Theory Methods Appl. 33, No. 5, 455-472 (1998). Reviewer: M.Ivanovici (Craiova) MSC: 34G20 35L05 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{R. Racke}, Nonlinear Anal., Theory Methods Appl. 33, No. 5, 455--472 (1998; Zbl 0933.34067) Full Text: DOI
D’Ancona, Piero; Spagnolo, Sergio Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity. (English) Zbl 0916.35063 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 1, No. 1, 169-185 (1998). Reviewer: G.Boillat (Aubière) MSC: 35L45 35B65 35L30 35L60 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Spagnolo}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 1, No. 1, 169--185 (1998; Zbl 0916.35063) Full Text: EuDML
D’Ancona, Piero; Spagnolo, Sergio The Cauchy problem for weakly parabolic systems. (English) Zbl 0891.35050 Math. Ann. 309, No. 2, 307-330 (1997). Reviewer: P.D’Ancona (L’Aquila) MSC: 35K45 35K65 35K55 35K15 35A07 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Spagnolo}, Math. Ann. 309, No. 2, 307--330 (1997; Zbl 0891.35050) Full Text: DOI
D’Ancona, Piero; Reissig, Michael New trends in the theory of nonlinear weakly hyperbolic equations of second order. (English) Zbl 0890.35076 Nonlinear Anal., Theory Methods Appl. 30, No. 4, 2507-2515 (1997). MSC: 35L10 35L70 35L15 35A20 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{M. Reissig}, Nonlinear Anal., Theory Methods Appl. 30, No. 4, 2507--2515 (1997; Zbl 0890.35076) Full Text: DOI
D’Ancona, Piero The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces. (English) Zbl 0836.34064 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 4, 343-358 (1994). MSC: 34G20 35L70 34A12 PDFBibTeX XMLCite \textit{P. D'Ancona}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 11, No. 4, 343--358 (1994; Zbl 0836.34064) Full Text: DOI Numdam EuDML
D’Ancona, Piero; Manfrin, Renato The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order. (English) Zbl 0808.35003 Hokkaido Math. J. 23, No. 1, 119-141 (1994). Reviewer: A.Cichocka (Katowice) MSC: 35A07 35L15 35L70 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{R. Manfrin}, Hokkaido Math. J. 23, No. 1, 119--141 (1994; Zbl 0808.35003) Full Text: DOI
D’Ancona, Piero Local existence for semilinear weakly hyperbolic equations with time dependent coefficients. (English) Zbl 0830.35089 Nonlinear Anal., Theory Methods Appl. 21, No. 9, 685-696 (1993). Reviewer: Chen Shuxing (Shanghai) MSC: 35L80 35A07 35L70 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona}, Nonlinear Anal., Theory Methods Appl. 21, No. 9, 685--696 (1993; Zbl 0830.35089) Full Text: DOI
D’Ancona, Piero; Spagnolo, Sergio A class of nonlinear hyperbolic problems with global solutions. (English) Zbl 0826.35072 Arch. Ration. Mech. Anal. 124, No. 3, 201-219 (1993). Reviewer: Y.Shibatu (Ibaraki) MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Spagnolo}, Arch. Ration. Mech. Anal. 124, No. 3, 201--219 (1993; Zbl 0826.35072) Full Text: DOI
D’Ancona, Piero; Spagnolo, Sergio On an abstract weakly hyperbolic equation modelling the nonlinear vibrating string. (English) Zbl 0898.35103 Buttazzo, Giuseppe (ed.) et al., Developments in partial differential equations and applications to mathematical physics. Proceedings of an international meeting, Ferrara, Italy, October 14-18, 1991. New York, NY: Plenum Press. 27-32 (1992). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35Q72 74H45 74K10 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Spagnolo}, in: Developments in partial differential equations and applications to mathematical physics. Proceedings of an international meeting, Ferrara, Italy, October 14-18, 1991. New York, NY: Plenum Press. 27--32 (1992; Zbl 0898.35103)
D’Ancona, Piero; Spagnolo, Sergio On the life span of the analytic solutions to quasilinear weakly hyperbolic equations. (English) Zbl 0729.35012 Indiana Univ. Math. J. 40, No. 1, 71-99 (1991). MSC: 35B30 35L70 35B40 35L15 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Spagnolo}, Indiana Univ. Math. J. 40, No. 1, 71--99 (1991; Zbl 0729.35012) Full Text: DOI
D’Ancona, Piero; Spagnolo, Sergio On the life span of the analytic solutions to quasilinear weakly hyperbolic equations. (English) Zbl 0715.35005 Indiana Univ. Math. J. (to appear). Reviewer: S.Spagnolo MSC: 35B30 35L70 35B40 35L15 PDFBibTeX XML
D’Ancona, Piero Global solution of the Cauchy problem for a class of abstract nonlinear hyperbolic equations. (English) Zbl 0683.35053 Ann. Mat. Pura Appl., IV. Ser. 151, 17-38 (1988). Reviewer: A.Tsutsumi MSC: 35L70 35G25 35B30 PDFBibTeX XMLCite \textit{P. D'Ancona}, Ann. Mat. Pura Appl. (4) 151, 17--38 (1988; Zbl 0683.35053) Full Text: DOI