Bergamasco, Adalberto P.; Laguna, Renato A.; Zani, Sérgio L. Global hypoellipticity of planar complex vector fields. (English) Zbl 1430.35062 J. Differ. Equations 267, No. 9, 5220-5257 (2019). MSC: 35H10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Differ. Equations 267, No. 9, 5220--5257 (2019; Zbl 1430.35062) Full Text: DOI
Bergamasco, Adalberto Panobianco; Parmeggiani, Alberto; Zani, Sérgio Luís; Zugliani, Giuliano Angelo Geometrical proofs for the global solvability of systems. (English) Zbl 1406.58015 Math. Nachr. 291, No. 16, 2367-2380 (2018). MSC: 58J10 35A01 35N10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Math. Nachr. 291, No. 16, 2367--2380 (2018; Zbl 1406.58015) Full Text: DOI
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L.; Gonzalez, Rafael B. Existence of global solutions for a class of vector fields on the three-dimensional torus. (English) Zbl 1403.35081 Bull. Sci. Math. 148, 53-76 (2018). MSC: 35F05 35A01 35B10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Bull. Sci. Math. 148, 53--76 (2018; Zbl 1403.35081) Full Text: DOI
Bergamasco, A. P.; da Silva, P. L. Dattori; Gonzalez, R. B. Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus. (English) Zbl 1395.35074 J. Differ. Equations 264, No. 5, 3500-3526 (2018). Reviewer: Kunihiko Kajitani (Ibaraki) MSC: 35H10 35A01 35B10 35B65 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Differ. Equations 264, No. 5, 3500--3526 (2018; Zbl 1395.35074) Full Text: DOI
Bergamasco, Adalberto; Parmeggiani, Alberto; Zani, Sérgio; Zugliani, Giuliano Classes of globally solvable involutive systems. (English) Zbl 1382.58018 J. Pseudo-Differ. Oper. Appl. 8, No. 4, 551-583 (2017). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 58J10 35A01 35N10 PDF BibTeX XML Cite \textit{A. Bergamasco} et al., J. Pseudo-Differ. Oper. Appl. 8, No. 4, 551--583 (2017; Zbl 1382.58018) Full Text: DOI
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L.; Gonzalez, Rafael B. Existence and regularity of periodic solutions to certain first-order partial differential equations. (English) Zbl 1357.35020 J. Fourier Anal. Appl. 23, No. 1, 65-90 (2017). MSC: 35B10 35A01 35H10 35B65 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Fourier Anal. Appl. 23, No. 1, 65--90 (2017; Zbl 1357.35020) Full Text: DOI
Bergamasco, Adalberto P.; de Medeira, Cleber; Kirilov, Alexandre; Zani, Sérgio L. On the global solvability of involutive systems. (English) Zbl 1359.37107 J. Math. Anal. Appl. 444, No. 1, 527-549 (2016). MSC: 37F75 32M25 35S05 35F05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Math. Anal. Appl. 444, No. 1, 527--549 (2016; Zbl 1359.37107) Full Text: DOI
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L.; Gonzalez, Rafael B.; Kirilov, Alexandre Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus. (English) Zbl 1336.35124 J. Pseudo-Differ. Oper. Appl. 6, No. 3, 341-360 (2015). Reviewer: Nathaniel Eldredge (Greeley) MSC: 35H10 35A01 35B65 35F05 35B10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Pseudo-Differ. Oper. Appl. 6, No. 3, 341--360 (2015; Zbl 1336.35124) Full Text: DOI
Bergamasco, A. P.; Kirilov, A.; Nunes, W. V. L.; Zani, S. L. Global solutions to involutive systems. (English) Zbl 1330.35078 Proc. Am. Math. Soc. 143, No. 11, 4851-4862 (2015). MSC: 35F35 35N10 58J10 35B10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Proc. Am. Math. Soc. 143, No. 11, 4851--4862 (2015; Zbl 1330.35078) Full Text: DOI
Bergamasco, A. P.; Dattori da Silva, P. L.; Meziani, A. Solvability of a first order differential operator on the two-torus. (English) Zbl 1302.35106 J. Math. Anal. Appl. 416, No. 1, 166-180 (2014). MSC: 35F05 35A01 35B10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Math. Anal. Appl. 416, No. 1, 166--180 (2014; Zbl 1302.35106) Full Text: DOI
Bergamasco, Adalberto P.; Kirilov, Alexandre; Nunes, Wagner Vieira Leite; Zani, Sérgio Luís On the global solvability for overdetermined systems. (English) Zbl 1275.35004 Trans. Am. Math. Soc. 364, No. 9, 4533-4549 (2012). MSC: 35A01 35N10 58J10 35B10 35F05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Trans. Am. Math. Soc. 364, No. 9, 4533--4549 (2012; Zbl 1275.35004) Full Text: DOI
Bergamasco, A. P.; Mendoza, G. A.; Zani, S. On global hypoellipticity. (English) Zbl 1387.58037 Commun. Partial Differ. Equations 37, No. 9, 1517-1527 (2012). MSC: 58J99 35H10 35B65 35F05 57R22 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Commun. Partial Differ. Equations 37, No. 9, 1517--1527 (2012; Zbl 1387.58037) Full Text: DOI
Bergamasco, Adalberto P.; De Medeira, Cleber; Zani, Sérgio Luís Globally solvable systems of complex vector fields. (English) Zbl 1242.35092 J. Differ. Equations 252, No. 8, 4598-4623 (2012). MSC: 35F05 35N15 35A30 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Differ. Equations 252, No. 8, 4598--4623 (2012; Zbl 1242.35092) Full Text: DOI
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L. Solvability in the large for a class of complex vector fields on the cylinder. (English) Zbl 1235.35007 Bull. Sci. Math. 136, No. 2, 162-171 (2012). MSC: 35A01 35F05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{P. L. Dattori da Silva}, Bull. Sci. Math. 136, No. 2, 162--171 (2012; Zbl 1235.35007) Full Text: DOI
Bergamasco, Adalberto P.; da Silva, Paulo L. Dattori; Ebert, Marcelo R. Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. (English) Zbl 1173.35300 J. Differ. Equations 246, No. 4, 1673-1702 (2009). Reviewer: Luigi Rodino (Torino) MSC: 35A05 58J05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Differ. Equations 246, No. 4, 1673--1702 (2009; Zbl 1173.35300) Full Text: DOI
Bergamasco, Adalberto P.; Zani, Sérgio Luís Global analytic regularity for structures of co-rank one. (English) Zbl 1153.35006 Commun. Partial Differ. Equations 33, No. 5, 933-941 (2008). Reviewer: Marco Biroli (Milano) MSC: 35A21 35H10 35B65 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{S. L. Zani}, Commun. Partial Differ. Equations 33, No. 5, 933--941 (2008; Zbl 1153.35006) Full Text: DOI
Bergamasco, Adalberto P.; Zani, Sérgio Luís Globally analytic hypoelliptic vector fields on compact surfaces. (English) Zbl 1139.35038 Proc. Am. Math. Soc. 136, No. 4, 1305-1310 (2008). Reviewer: Petar Popivanov (Sofia) MSC: 35H10 58J99 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{S. L. Zani}, Proc. Am. Math. Soc. 136, No. 4, 1305--1310 (2008; Zbl 1139.35038) Full Text: DOI
Bergamasco, Adalberto P.; Kirilov, Alexandre Global solvability for a class of overdetermined systems. (English) Zbl 1158.58011 J. Funct. Anal. 252, No. 2, 603-629 (2007). Reviewer: Michal Marvan (Opava) MSC: 58J10 35N15 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{A. Kirilov}, J. Funct. Anal. 252, No. 2, 603--629 (2007; Zbl 1158.58011) Full Text: DOI
Bergamasco, A. P.; Dattori da Silva, P. L. Solvability in the large for a class of vector fields on the torus. (English) Zbl 1157.35304 J. Math. Pures Appl. (9) 86, No. 5, 427-447 (2006). MSC: 35A21 35F05 47F05 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{P. L. Dattori da Silva}, J. Math. Pures Appl. (9) 86, No. 5, 427--447 (2006; Zbl 1157.35304) Full Text: DOI
Bergamasco, Adalberto P.; Dattori da Silva, Paulo L. Global solvability for a special class of vector fields on the torus. (English) Zbl 1108.35026 Berhanu, Shiferaw (ed.) et al., Recent progress on some problems in several complex variables and partial differential equations. Papers presented at the international conferences on partial differential equations and several complex variables, Wuhan, China, June 9–13, 2004 and on complex geometry and related fields, Shanghai, China, June 21–24, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3921-7/pbk). Contemporary Mathematics 400, 11-20 (2006). MSC: 35F05 35A05 35B10 58J99 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{P. L. Dattori da Silva}, Contemp. Math. 400, 11--20 (2006; Zbl 1108.35026)
Bergamasco, Adalberto P.; Zani, Sérgio Luís Prescribing analytic singularities for solutions of a class of vector fields on the torus. (English) Zbl 1077.35004 Trans. Am. Math. Soc. 357, No. 10, 4159-4174 (2005). Reviewer: Petar Popivanov (Sofia) MSC: 35A20 35H10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{S. L. Zani}, Trans. Am. Math. Soc. 357, No. 10, 4159--4174 (2005; Zbl 1077.35004) Full Text: DOI
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson Global solvability for a class of complex vector fields on the two-torus. (English) Zbl 1065.35088 Commun. Partial Differ. Equations 29, No. 5-6, 785-819 (2004). MSC: 35F05 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Commun. Partial Differ. Equations 29, No. 5--6, 785--819 (2004; Zbl 1065.35088) Full Text: DOI
Bergamasco, Adalberto P.; Nunes, Wagner V. L.; Zani, Sérgio Luís Global properties of a class of overdetermined systems. (English) Zbl 1034.32024 J. Funct. Anal. 200, No. 1, 31-64 (2003). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32W50 35N10 35H10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Funct. Anal. 200, No. 1, 31--64 (2003; Zbl 1034.32024) Full Text: DOI
Bergamasco, Adalberto P.; Nunes, Wagner V. L.; Zani, Sérgio Luís Global analytic hypoellipticity and pseudoperiodic functions. (English) Zbl 0979.35036 Mat. Contemp. 18, 43-57 (2000). MSC: 35H10 35N05 35F05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Mat. Contemp. 18, 43--57 (2000; Zbl 0979.35036)
Bergamasco, Adalberto P.; Meziani, Abdelhamid Semiglobal solvability of a class of planar vector fields of infinite type. (English) Zbl 0983.35036 Mat. Contemp. 18, 31-42 (2000). Reviewer: Petar Popivanov (Sofia) MSC: 35F05 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{A. Meziani}, Mat. Contemp. 18, 31--42 (2000; Zbl 0983.35036)
Bergamasco, Adalberto P. Remarks about global analytic hypoellipticity. (English) Zbl 0932.35046 Trans. Am. Math. Soc. 351, No. 10, 4113-4126 (1999). Reviewer: P.Popivanov (Sofia) MSC: 35H10 PDF BibTeX XML Cite \textit{A. P. Bergamasco}, Trans. Am. Math. Soc. 351, No. 10, 4113--4126 (1999; Zbl 0932.35046) Full Text: DOI
Bergamasco, Adalberto P.; Petronilho, Gerson Global solvability of a class of involutive systems. (English) Zbl 0942.35011 J. Math. Anal. Appl. 233, No. 1, 314-327 (1999). Reviewer: Th.M.Rassias (Athens) MSC: 35A30 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{G. Petronilho}, J. Math. Anal. Appl. 233, No. 1, 314--327 (1999; Zbl 0942.35011) Full Text: DOI
Bergamasco, Adalberto P.; Petronilho, Gerson Closedness of the range for vector fields on the torus. (English) Zbl 0926.35030 J. Differ. Equations 154, No. 1, 132-139 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 35F05 47F05 47A05 37N99 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{G. Petronilho}, J. Differ. Equations 154, No. 1, 132--139 (1999; Zbl 0926.35030) Full Text: DOI
Bergamasco, Adalberto P.; Caetano, Paulo A. S.; Kondo, Cezar I. Global hypoellipticity and global solvability for a class of operators on compact manifolds. (English) Zbl 0901.58071 J. Differ. Equations 141, No. 2, 236-253 (1997). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J99 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Differ. Equations 141, No. 2, 236--253 (1997; Zbl 0901.58071) Full Text: DOI
Bergamasco, Adalberto P.; Zuffi, Edna M. On global hypoellipticity on the torus. (English) Zbl 0886.35048 Tsukuba J. Math. 21, No. 2, 319-327 (1997). MSC: 35H10 35S05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{E. M. Zuffi}, Tsukuba J. Math. 21, No. 2, 319--327 (1997; Zbl 0886.35048) Full Text: DOI
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Petronilho, Gerson Global solvability for certain classes of underdetermined systems of vector fields. (English) Zbl 0863.58062 Math. Z. 223, No. 2, 261-274 (1996). Reviewer: A.P.Bergamasco (São Carlos) MSC: 58J10 35N10 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Math. Z. 223, No. 2, 261--274 (1996; Zbl 0863.58062) Full Text: DOI EuDML
Bergamasco, Adalberto P. Perturbations of globally hypoelliptic operators. (English) Zbl 0815.35009 J. Differ. Equations 114, No. 2, 513-526 (1994). Reviewer: H.Siedentop (Oslo) MSC: 35H10 35B20 PDF BibTeX XML Cite \textit{A. P. Bergamasco}, J. Differ. Equations 114, No. 2, 513--526 (1994; Zbl 0815.35009) Full Text: DOI
Bergamasco, Adalberto P.; Zani, Sérgio Luís Global hypoellipticity of a class of second order operators. (English) Zbl 0811.35016 Can. Math. Bull. 37, No. 3, 301-305 (1994). MSC: 35H10 35B10 35B65 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{S. L. Zani}, Can. Math. Bull. 37, No. 3, 301--305 (1994; Zbl 0811.35016) Full Text: DOI
Bergamasco, Adalberto P.; Petronilho, Gerson Re-establishment of uniqueness. II. (English) Zbl 0846.35030 J. Differ. Equations 110, No. 1, 134-142 (1994). MSC: 35G10 35A10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{G. Petronilho}, J. Differ. Equations 110, No. 1, 134--142 (1994; Zbl 0846.35030) Full Text: DOI
Bergamasco, Adalberto P. Uniqueness in a characteristic Cauchy problem with variable multiplicity. (English) Zbl 0791.35021 J. Math. Anal. Appl. 182, No. 1, 23-33 (1994). MSC: 35G10 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco}, J. Math. Anal. Appl. 182, No. 1, 23--33 (1994; Zbl 0791.35021) Full Text: DOI
Bergamasco, Adalberto P.; Petronilho, Gerson A construction of parametrices of elliptic boundary value problems. (English) Zbl 0826.35032 Port. Math. 50, No. 3, 263-276 (1993). Reviewer: R.Kodnár (Bratislava) MSC: 35J40 35D10 35S15 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{G. Petronilho}, Port. Math. 50, No. 3, 263--276 (1993; Zbl 0826.35032) Full Text: EuDML
Bergamasco, Adalberto P.; Petronilho, Gerson Re-establishment of uniqueness. I. (English) Zbl 0798.47035 J. Math. Anal. Appl. 178, No. 2, 309-321 (1993). MSC: 47F05 35A05 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{G. Petronilho}, J. Math. Anal. Appl. 178, No. 2, 309--321 (1993; Zbl 0798.47035) Full Text: DOI
Bergamasco, Adalberto P.; Petronilho, Gerson On the hypoellipticity of degenerate elliptic boundary value problems. (English) Zbl 0767.35114 J. Math. Anal. Appl. 171, No. 2, 407-417 (1992). Reviewer: V.S.Rabinovich (Rostov-na-Donu) MSC: 35S05 35J70 65H10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{G. Petronilho}, J. Math. Anal. Appl. 171, No. 2, 407--417 (1992; Zbl 0767.35114) Full Text: DOI
Bergamasco, Adalberto Panobianco; de Souza Ribeiro, Hermano Uniqueness in a doubly characteristic Cauchy problem. (English) Zbl 0692.35066 Pac. J. Math. 136, No. 2, 229-240 (1989). Reviewer: W.Watzlawek MSC: 35L80 35L15 PDF BibTeX XML Cite \textit{A. P. Bergamasco} and \textit{H. de Souza Ribeiro}, Pac. J. Math. 136, No. 2, 229--240 (1989; Zbl 0692.35066) Full Text: DOI
Bergamasco, Adalberto P.; Gerszonowicz, Jorge A.; Petronilho, Gerson On the regularity up to the boundary in the Dirichlet problem for degenerate elliptic equations. (English) Zbl 0681.35021 Trans. Am. Math. Soc. 313, No. 1, 317-329 (1989). Reviewer: M.Langlais MSC: 35D10 35J70 35J25 35S99 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., Trans. Am. Math. Soc. 313, No. 1, 317--329 (1989; Zbl 0681.35021) Full Text: DOI