Casagrande, D.; Del Santo, D.; Prizzi, M. Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients. (English) Zbl 07593446 J. Differ. Equations 338, 518-550 (2022). MSC: 35B35 35B30 35K10 35R25 PDF BibTeX XML Cite \textit{D. Casagrande} et al., J. Differ. Equations 338, 518--550 (2022; Zbl 07593446) Full Text: DOI arXiv OpenURL
Del Santo, Daniele; Prizzi, Martino On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point. (English) Zbl 1485.35257 Ann. Mat. Pura Appl. (4) 201, No. 1, 93-110 (2022). MSC: 35K10 35A02 35S50 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Ann. Mat. Pura Appl. (4) 201, No. 1, 93--110 (2022; Zbl 1485.35257) Full Text: DOI OpenURL
Del Santo, Daniele; Prizzi, Martino Well-posedness for hyperbolic equations whose coefficients lose regularity at one point. (English) Zbl 1489.35164 Monatsh. Math. 197, No. 3, 407-417 (2022). Reviewer: Michael Reissig (Freiberg) MSC: 35L15 35B65 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Monatsh. Math. 197, No. 3, 407--417 (2022; Zbl 1489.35164) Full Text: DOI arXiv OpenURL
Del Santo, Daniele; Fanelli, Francesco; Sbaiz, Gabriele; Wróblewska-Kamińska, Aneta A multiscale problem for viscous heat-conducting fluids in fast rotation. (English) Zbl 1462.35404 J. Nonlinear Sci. 31, No. 1, Paper No. 21, 64 p. (2021). MSC: 35Q86 35B25 76U60 35B40 76M45 86A05 76D05 80A19 PDF BibTeX XML Cite \textit{D. Del Santo} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 21, 64 p. (2021; Zbl 1462.35404) Full Text: DOI arXiv OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco No loss of derivatives for hyperbolic operators with Zygmund-continuous coefficients in time. (English) Zbl 1461.35145 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, 127-148 (2021). MSC: 35L15 35B45 35B65 PDF BibTeX XML Cite \textit{F. Colombini} et al., Springer INdAM Ser. 43, 127--148 (2021; Zbl 1461.35145) Full Text: DOI arXiv OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients. (English) Zbl 1439.35317 Indiana Univ. Math. J. 69, No. 3, 785-836 (2020). MSC: 35L45 35B45 35B65 PDF BibTeX XML Cite \textit{F. Colombini} et al., Indiana Univ. Math. J. 69, No. 3, 785--836 (2020; Zbl 1439.35317) Full Text: DOI arXiv OpenURL
Casagrande, Daniele; Del Santo, Daniele; Prizzi, Martino Conditional stability for backward parabolic operators with Osgood continuous coefficients. (English) Zbl 1445.35192 Ann. Mat. Pura Appl. (4) 199, No. 2, 479-508 (2020). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35K10 35R30 35B30 35R25 35K15 PDF BibTeX XML Cite \textit{D. Casagrande} et al., Ann. Mat. Pura Appl. (4) 199, No. 2, 479--508 (2020; Zbl 1445.35192) Full Text: DOI arXiv OpenURL
Casagrande, Daniele; Del Santo, Daniele; Prizzi, Martino Conditional stability for backward parabolic equations with Osgood coefficients. (English) Zbl 1427.35093 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 285-295 (2019). MSC: 35K10 35K15 35B30 PDF BibTeX XML Cite \textit{D. Casagrande} et al., in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 285--295 (2019; Zbl 1427.35093) Full Text: DOI arXiv OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. (English) Zbl 1346.35124 Commun. Partial Differ. Equations 40, No. 11, 2082-2121 (2015). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35L45 35B45 35B65 35A27 PDF BibTeX XML Cite \textit{F. Colombini} et al., Commun. Partial Differ. Equations 40, No. 11, 2082--2121 (2015; Zbl 1346.35124) Full Text: DOI arXiv OpenURL
Del Santo, Daniele; Jäh, Christian; Paicu, Marius Backward uniqueness for parabolic operators with non-Lipschitz coefficients. (English) Zbl 1334.35074 Osaka J. Math. 52, No. 3, 793-815 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35K15 35R25 35A02 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Osaka J. Math. 52, No. 3, 793--815 (2015; Zbl 1334.35074) Full Text: arXiv Euclid OpenURL
Del Santo, Daniele; Jäh, Christian P.; Prizzi, Martino Conditional stability for backward parabolic equations with \(\mathrm{Log}\, \mathrm{Lip}_t \times \mathrm{Lip}_x\)-coefficients. (English) Zbl 1320.35055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 101-122 (2015). MSC: 35B30 34A12 35A02 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 101--122 (2015; Zbl 1320.35055) Full Text: DOI arXiv OpenURL
Del Santo, Daniele; Prizzi, Martino A new result on backward uniqueness for parabolic operators. (English) Zbl 1320.35005 Ann. Mat. Pura Appl. (4) 194, No. 2, 387-403 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35A02 35K10 35S50 35R25 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Ann. Mat. Pura Appl. (4) 194, No. 2, 387--403 (2015; Zbl 1320.35005) Full Text: DOI arXiv OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy A note on complete hyperbolic operators with log-Zygmund coefficients. (English) Zbl 1320.35179 Ruzhansky, Michael (ed.) et al., Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25–29, 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-02549-0/hbk; 978-3-319-02550-6/ebook). Trends in Mathematics, 47-72 (2014). MSC: 35L15 35B65 35S50 35B45 PDF BibTeX XML Cite \textit{F. Colombini} et al., in: Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012. Cham: Birkhäuser/Springer. 47--72 (2014; Zbl 1320.35179) Full Text: DOI Link OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. (English) Zbl 1286.35057 Commun. Partial Differ. Equations 38, No. 10, 1791-1817 (2013). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B65 35L15 35S50 35B45 PDF BibTeX XML Cite \textit{F. Colombini} et al., Commun. Partial Differ. Equations 38, No. 10, 1791--1817 (2013; Zbl 1286.35057) Full Text: DOI arXiv Link OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy A well-posedness result for hyperbolic operators with Zygmund coefficients. (English) Zbl 1282.35220 J. Math. Pures Appl. (9) 100, No. 4, 455-475 (2013). MSC: 35L15 35B65 35S50 35B45 PDF BibTeX XML Cite \textit{F. Colombini} et al., J. Math. Pures Appl. (9) 100, No. 4, 455--475 (2013; Zbl 1282.35220) Full Text: DOI arXiv OpenURL
Del Santo, Daniele; Jäh, Christian P. Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations. (English) Zbl 1273.35013 Reissig, Michael (ed.) et al., Progress in partial differential equations. Asymptotic profiles, regularity and well-posedness. Based on the presentations given at a session at the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Cham: Springer (ISBN 978-3-319-00124-1/hbk; 978-3-319-00125-8/ebook). Springer Proceedings in Mathematics & Statistics 44, 27-52 (2013). MSC: 35A02 35J15 35K10 35B35 35B60 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{C. P. Jäh}, Springer Proc. Math. Stat. 44, 27--52 (2013; Zbl 1273.35013) Full Text: DOI OpenURL
Del Santo, Daniele A remark on the uniqueness for backward parabolic operators with non-Lipschitz-continuous coefficients. (English) Zbl 1258.35004 Ruzhansky, Michael (ed.) et al., Evolution equations of hyperbolic and Schrödinger type. Asymptotics, estimates and nonlinearities. Based on a workshop on asymptotic properties of solutions to hyperbolic equations, London, UK, March 2011. Basel: Springer (ISBN 978-3-0348-0453-0/hbk; 978-3-0348-0454-7/ebook). Progress in Mathematics 301, 103-114 (2012). MSC: 35A02 35K15 PDF BibTeX XML Cite \textit{D. Del Santo}, Prog. Math. 301, 103--114 (2012; Zbl 1258.35004) Full Text: DOI Link OpenURL
Colombini, Ferruccio; Del Santo, Daniele A note on hyperbolic operators with log-Zygmund coefficients. (English) Zbl 1213.35286 J. Math. Sci., Tokyo 16, No. 1, 95-111 (2009). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35B45 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, J. Math. Sci., Tokyo 16, No. 1, 95--111 (2009; Zbl 1213.35286) Full Text: Link OpenURL
Del Santo, Daniele The Cauchy problem for a hyperbolic operator with log-Zygmund coefficients. (English) Zbl 1184.35189 Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 425-433 (2009). MSC: 35L15 PDF BibTeX XML Cite \textit{D. Del Santo}, in: Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13--18, 2007. Hackensack, NJ: World Scientific. 425--433 (2009; Zbl 1184.35189) OpenURL
Del Santo, Daniele; Prizzi, Martino Continuous dependence for backward parabolic operators with log-Lipschitz coefficients. (English) Zbl 1207.35049 Math. Ann. 345, No. 1, 213-243 (2009). Reviewer: Pigong Han (Beijing, China) MSC: 35B30 34A55 35R25 35K15 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Math. Ann. 345, No. 1, 213--243 (2009; Zbl 1207.35049) Full Text: DOI arXiv OpenURL
Del Santo, Daniele; Kinoshita, Tamotu; Reissig, Michael Energy estimates for strictly hyperbolic equations with low regularity in coefficients. (English) Zbl 1212.35281 Differ. Integral Equ. 20, No. 8, 879-900 (2007). MSC: 35L10 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Differ. Integral Equ. 20, No. 8, 879--900 (2007; Zbl 1212.35281) OpenURL
Del Santo, D.; Kinoshita, T.; Reissig, M. Klein-Gordon type equations with a singular time-dependent potential. (English) Zbl 1159.35387 Rend. Ist. Mat. Univ. Trieste 39, 141-175 (2007). Reviewer: Marie Kopáčková (Praha) MSC: 35L15 35B65 81Q05 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Rend. Ist. Mat. Univ. Trieste 39, 141--175 (2007; Zbl 1159.35387) OpenURL
Del Santo, Daniele; Prizzi, Martino On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time. (English) Zbl 1143.35009 Proc. Am. Math. Soc. 135, No. 2, 383-391 (2007). Reviewer: Irina V. Melnikova (Ekaterinburg) MSC: 35B40 35K10 35K90 35K15 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Proc. Am. Math. Soc. 135, No. 2, 383--391 (2007; Zbl 1143.35009) Full Text: DOI arXiv OpenURL
Cicognani, Massimo; Del Santo, Daniele; Reissig, Michael A dyadic decomposition approach to a finitely degenerate hyperbolic problem. (English) Zbl 1134.35080 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 281-289 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L80 35L15 PDF BibTeX XML Cite \textit{M. Cicognani} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 281--289 (2006; Zbl 1134.35080) Full Text: DOI arXiv OpenURL
Del Santo, Daniele A note on Gevrey well-posedness for the operator \(\partial^2_t-a(t)\partial_x(b(t,x)\partial_x)\). (English) Zbl 1128.35364 Rend. Ist. Mat. Univ. Trieste 38, 125-137 (2006). MSC: 35L15 35A05 PDF BibTeX XML Cite \textit{D. Del Santo}, Rend. Ist. Mat. Univ. Trieste 38, 125--137 (2006; Zbl 1128.35364) OpenURL
Del Santo, Daniele; Prizzi, Martino On the backward uniqueness property for a class of parabolic operators. (English) Zbl 1166.35025 Bove, Antonio (ed.) et al., Phase space analysis of partial differential equations. Basel: Birkhäuser (ISBN 978-0-8176-4511-3/hbk; 978-0-8176-4521-2/e-book). Progress in Nonlinear Differential Equations and Their Applications 69, 95-105 (2006). Reviewer: Behzad Djafari-Rouhani (El-Paso) MSC: 35K25 35K35 35A05 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Prog. Nonlinear Differ. Equ. Appl. 69, 95--105 (2006; Zbl 1166.35025) Full Text: arXiv OpenURL
Del Santo, Daniele; Prizzi, Martino Backward uniqueness for parabolic operators whose coefficients are non-Lipschitz continuous in time. (English) Zbl 1074.35042 J. Math. Pures Appl., IX. Sér. 84, No. 4, 471-491 (2005). Reviewer: Dinh Nho Hao (Brussels) MSC: 35K15 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, J. Math. Pures Appl. (9) 84, No. 4, 471--491 (2005; Zbl 1074.35042) Full Text: DOI OpenURL
Colombini, F.; Del Santo, D.; Kinoshita, T. Gevrey-well-posedness for weakly hyperbolic operators with Hölder-continuous coefficients. (English) Zbl 1061.35044 Math. Scand. 94, No. 2, 267-294 (2004). Reviewer: Petar Popivanov (Sofia) MSC: 35L15 35B65 PDF BibTeX XML Cite \textit{F. Colombini} et al., Math. Scand. 94, No. 2, 267--294 (2004; Zbl 1061.35044) Full Text: DOI OpenURL
Del Santo, Daniele A remark on nonuniqueness in the Cauchy problem for elliptic operator having non-Lipschitz coefficients. (English) Zbl 1205.35059 Ancona, Vincenzo (ed.) et al., Hyperbolic differential operators and related problems. New York, NY: Marcel Dekker (ISBN 0-8247-0963-2/pbk). Lect. Notes Pure Appl. Math. 233, 317-320 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J15 PDF BibTeX XML Cite \textit{D. Del Santo}, Lect. Notes Pure Appl. Math. 233, 317--320 (2003; Zbl 1205.35059) OpenURL
Del Santo, Daniele Some results on the Cauchy problem for hyperbolic operators with non-regular coefficients. (English) Zbl 1052.35109 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., 147-157 (2003). Reviewer: Michael Reissig (Freiberg) MSC: 35L15 35L80 PDF BibTeX XML Cite \textit{D. Del Santo}, in: Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10--14, 2002. Somerville, MA: International Press. 147--157 (2003; Zbl 1052.35109) OpenURL
Colombini, Ferruccio; Del Santo, Daniele Strictly hyperbolic operators and approximate energies. (English) Zbl 1050.35044 Begehr, Heinrich G. W. (ed.) et al., Analysis and applications–ISAAC 2001. Proceedings of the 3rd international congress, Berlin, Germany, August 20–25, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1384-1/hbk). Int. Soc. Anal. Appl. Comput. 10, 253-277 (2003). Reviewer: Luigi Rodino (Torino) MSC: 35L15 35A05 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, Int. Soc. Anal. Appl. Comput. 10, 253--277 (2003; Zbl 1050.35044) OpenURL
Del Santo, Daniele; Prizzi, Martino A remark on well-posedness for hyperbolic equations with singular coefficients. (English) Zbl 1041.35050 Tsukuba J. Math. 27, No. 1, 189-198 (2003). Reviewer: Michael Reissig (Freiberg) MSC: 35L80 35L15 35A05 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Tsukuba J. Math. 27, No. 1, 189--198 (2003; Zbl 1041.35050) Full Text: DOI arXiv OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu On the Cauchy problem for hyperbolic operators with non-regular coefficients. (English) Zbl 1036.35122 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 37-52 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L45 PDF BibTeX XML Cite \textit{F. Colombini} et al., Math. Phys. Stud. 24, 37--52 (2003; Zbl 1036.35122) OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Reissig, Michael On the optimal regularity of coefficients in hyperbolic Cauchy problems. (English) Zbl 1037.35038 Bull. Sci. Math. 127, No. 4, 328-347 (2003). Reviewer: K. Kajitani (Ibaraki) MSC: 35L15 35B65 35A05 PDF BibTeX XML Cite \textit{F. Colombini} et al., Bull. Sci. Math. 127, No. 4, 328--347 (2003; Zbl 1037.35038) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu On weakly hyperbolic operators with non-regular coefficients and finite order degeneration. (English) Zbl 1036.35117 J. Math. Anal. Appl. 282, No. 1, 410-420 (2003). Reviewer: Antonio Bove (Bologna) MSC: 35L15 35L80 PDF BibTeX XML Cite \textit{F. Colombini} et al., J. Math. Anal. Appl. 282, No. 1, 410--420 (2003; Zbl 1036.35117) Full Text: DOI OpenURL
Del Santo, Daniele; Colombini, Ferruccio; Kinoshita, Tamotu Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients. (English) Zbl 1098.35094 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 2, 327-358 (2002). Reviewer: Vladimir Răsvan (Craiova) MSC: 35L15 35A05 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 2, 327--358 (2002; Zbl 1098.35094) Full Text: EuDML OpenURL
Colombini, Ferruccio; Del Santo, Daniele An example of non-uniqueness for a hyperbolic equation with non-Lipschitz-continuous coefficients. (English) Zbl 1148.35334 J. Math. Kyoto Univ. 42, No. 3, 517-530 (2002). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, J. Math. Kyoto Univ. 42, No. 3, 517--530 (2002; Zbl 1148.35334) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Kinoshita, Tamotu Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients. (English) Zbl 1037.35037 J. Math. Pures Appl., IX. Sér. 81, No. 7, 641-654 (2002). Reviewer: K. Kajitani (Ibaraki) MSC: 35L15 35B65 35A05 PDF BibTeX XML Cite \textit{F. Colombini} et al., J. Math. Pures Appl. (9) 81, No. 7, 641--654 (2002; Zbl 1037.35037) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele Blow-up for hyperbolic systems in diagonal form. (English) Zbl 0994.35090 NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 4, 465-472 (2001). Reviewer: Petar Popivanov (Sofia) MSC: 35L65 35L67 35B40 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, NoDEA, Nonlinear Differ. Equ. Appl. 8, No. 4, 465--472 (2001; Zbl 0994.35090) Full Text: DOI OpenURL
Colombini, F.; Del Santo, D.; Zuily, C. Uniqueness and non-uniqueness results for operators with simple characteristics. (English) Zbl 1115.35159 Vaillant, J. (ed.) et al., Differential operators and mathematical physics. Papers of the colloquium, Coimbra, Portugal, June 19–22. Coimbra: Universidade de Coimbra, Departamento de Matemática (ISBN 972-8564-25-2/pbk). Textos de Matemática. Série B 24, 95-118 (2000). Reviewer: Luigi Rodino (Torino) MSC: 35S05 35A07 PDF BibTeX XML Cite \textit{F. Colombini} et al., Textos Mat., Sér. B 24, 95--118 (2000; Zbl 1115.35159) OpenURL
Del Santo, D.; Mitidieri, E. Blow-up of solutions of a hyperbolic system: The critical case. (English. Russian original) Zbl 1032.35126 Differ. Equations 34, No. 9, 1157-1163 (1998); translation from Differ. Uravn. 34, No. 9, 1155-1161 (1998). Reviewer: Lutz Recke (Berlin) MSC: 35L55 35B33 35B05 35L15 35L70 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{E. Mitidieri}, Differ. Equations 34, No. 9, 1157--1163 (1998; Zbl 1032.35126); translation from Differ. Uravn. 34, No. 9, 1155--1161 (1998) OpenURL
Del Santo, D. Global existence and blow-up for a hyperbolic system in three space dimensions. (English) Zbl 0933.35122 Rend. Ist. Mat. Univ. Trieste 29, No. 1-2, 115-140 (1997). Reviewer: R.Precup (Cluj-Napoca) MSC: 35L55 35B40 35L15 35L70 PDF BibTeX XML Cite \textit{D. Del Santo}, Rend. Ist. Mat. Univ. Trieste 29, No. 1--2, 115--140 (1997; Zbl 0933.35122) OpenURL
Colombini, Ferruccio; Del Santo, Daniel Formation of singularities for nonlinear hyperbolic \(2\times 2\) systems with periodic data. (English) Zbl 0892.35094 Osaka J. Math. 34, No. 4, 843-857 (1997). Reviewer: S.Benzoni (Lyon) MSC: 35L45 35L67 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, Osaka J. Math. 34, No. 4, 843--857 (1997; Zbl 0892.35094) OpenURL
Del Santo, Daniele; Georgiev, Vladimir; Mitidieri, Enzo Global existence of the solutions and formation of singularities for a class of hyperbolic systems. (English) Zbl 0893.35066 Colombini, Ferruccio (ed.) et al., Geometrical optics and related topics. Selected papers of the meeting, Cortona, Italy, September 1996. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 32, 117-140 (1997). Reviewer: H.Lange (Köln) MSC: 35L55 35L70 35L15 35B40 PDF BibTeX XML Cite \textit{D. Del Santo} et al., Prog. Nonlinear Differ. Equ. Appl. 32, 117--140 (1997; Zbl 0893.35066) OpenURL
Del Santo, Daniele A Carleman estimate for degenerate elliptic operators with an application to an ill-posed problem. (English) Zbl 0877.35051 Boll. Unione Mat. Ital., VII. Ser., B 11, No. 2, 327-339 (1997). Reviewer: R.Johnson (College Park) MSC: 35J70 35R25 PDF BibTeX XML Cite \textit{D. Del Santo}, Boll. Unione Mat. Ital., VII. Ser., B 11, No. 2, 327--339 (1997; Zbl 0877.35051) OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Zuily, Claude Singular principal normality in the Cauchy problem. (English) Zbl 0878.35002 J. Math. Kyoto Univ. 36, No. 2, 365-384 (1996). Reviewer: M.Reissig (Freiberg) MSC: 35A07 35B60 78A05 PDF BibTeX XML Cite \textit{F. Colombini} et al., J. Math. Kyoto Univ. 36, No. 2, 365--384 (1996; Zbl 0878.35002) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele Development of singularities for nonlinear hyperbolic systems with periodic data. (English) Zbl 0881.35067 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 41, Suppl., 15-28 (1996). MSC: 35L60 35B40 35L45 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 41, 15--28 (1996; Zbl 0881.35067) OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Zuily, Claude The Fefferman-Phong inequality in the locally temperate Weyl calculus. (English) Zbl 0884.35182 Osaka J. Math. 33, No. 4, 847-861 (1996). Reviewer: M.Derridj (Rouen) MSC: 35S05 47G30 PDF BibTeX XML Cite \textit{F. Colombini} et al., Osaka J. Math. 33, No. 4, 847--861 (1996; Zbl 0884.35182) OpenURL
Colombini, Ferruccio; Del Santo, Daniele Condition \(({\mathcal P})\) is not sufficient for uniqueness in the Cauchy problem. (English) Zbl 0846.35002 Commun. Partial Differ. Equations 20, No. 11-12, 2113-2128 (1995). Reviewer: M.Reissig (Freiberg) MSC: 35A07 35B30 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, Commun. Partial Differ. Equations 20, No. 11--12, 2113--2128 (1995; Zbl 0846.35002) Full Text: DOI OpenURL
Colombini, Ferruccio; del Santo, Daniele On the uniqueness in Gevrey spaces for degenerate elliptic operators. (English) Zbl 0807.35050 Commun. Partial Differ. Equations 19, No. 11-12, 1945-1969 (1994). MSC: 35J70 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. del Santo}, Commun. Partial Differ. Equations 19, No. 11--12, 1945--1969 (1994; Zbl 0807.35050) Full Text: DOI OpenURL
Del Santo, Daniele; Omari, Pierpaolo Nonresonance conditions on the potential for a semilinear elliptic problem. (English) Zbl 0798.35051 J. Differ. Equations 108, No. 1, 120-138 (1994). MSC: 35J65 35J20 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{P. Omari}, J. Differ. Equations 108, No. 1, 120--138 (1994; Zbl 0798.35051) Full Text: DOI OpenURL
Colombini, Ferruccio; del Santo, Daniele; Zuily, Claude Uniqueness and nonuniqueness in the Cauchy problem for degenerate elliptic operators. (English) Zbl 0792.35065 Am. J. Math. 115, No. 6, 1281-1297 (1993). Reviewer: B.Kvedaras (Vilnius) MSC: 35J70 PDF BibTeX XML Cite \textit{F. Colombini} et al., Am. J. Math. 115, No. 6, 1281--1297 (1993; Zbl 0792.35065) Full Text: DOI OpenURL
Del Santo, Daniele; Saint Raymond, Xavier A remark on Hörmander’s uniqueness theorem. (English) Zbl 0807.35003 Proc. Am. Math. Soc. 117, No. 3, 721-725 (1993). Reviewer: G.Gussi (Bucureşti) MSC: 35A07 35B45 35S50 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{X. Saint Raymond}, Proc. Am. Math. Soc. 117, No. 3, 721--725 (1993; Zbl 0807.35003) Full Text: DOI OpenURL
Del Santo, Daniele; Saint Raymond, Xavier On the uniqueness theorem of Lerner and Robbiano. (English) Zbl 0804.35160 Commun. Partial Differ. Equations 17, No. 11-12, 2137-2154 (1992). Reviewer: L.Rodino (Torino) MSC: 35S05 35S10 35A07 35S50 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{X. Saint Raymond}, Commun. Partial Differ. Equations 17, No. 11--12, 2137--2154 (1992; Zbl 0804.35160) Full Text: DOI OpenURL
Colombini, Ferruccio; Del Santo, Daniele; Zuily, Claude Some remarks on the uniqueness in the Cauchy problem for degenerate elliptic operators. (English) Zbl 0836.35055 Ambrosetti, A. (ed.) et al., Nonlinear analysis. A tribute in honour of Giovanni Prodi. Pisa: Scuola Normale Superiore, Quaderni. Universitá di Pisa. 153-159 (1991). MSC: 35J70 PDF BibTeX XML Cite \textit{F. Colombini} et al., in: Nonlinear analysis. A tribute in honour of Giovanni Prodi. Pisa: Scuola Normale Superiore. 153--159 (1991; Zbl 0836.35055) OpenURL
Colombini, Ferruccio; Del Santo, Daniele Some uniqueness results for degenerate elliptic operators in two variables. (English) Zbl 0766.35005 Rend. Semin. Mat. Univ. Padova 86, 111-129 (1991). Reviewer: N.Weck (Essen) MSC: 35B60 35J70 PDF BibTeX XML Cite \textit{F. Colombini} and \textit{D. Del Santo}, Rend. Semin. Mat. Univ. Padova 86, 111--129 (1991; Zbl 0766.35005) Full Text: Numdam EuDML OpenURL
Del Santo, Daniele Non-uniqueness in the Cauchy problem for a degenerate elliptic operator. (English) Zbl 0705.35050 Bull. Sci. Math., II. Sér. 114, No. 3, 337-350 (1990). MSC: 35J70 PDF BibTeX XML Cite \textit{D. Del Santo}, Bull. Sci. Math., II. Sér. 114, No. 3, 337--350 (1990; Zbl 0705.35050) OpenURL
Del Santo, Daniele Uniqueness of the Cauchy problem for a second order operator. (English) Zbl 0699.35039 Rend. Semin. Mat. Univ. Padova 81, 85-93 (1989). Reviewer: G.Jumarie MSC: 35G10 35A05 PDF BibTeX XML Cite \textit{D. Del Santo}, Rend. Semin. Mat. Univ. Padova 81, 85--93 (1989; Zbl 0699.35039) Full Text: Numdam EuDML OpenURL