Kirilov, Alexandre; de Moraes, Wagner A. A.; Ruzhansky, Michael Global hypoellipticity and global solvability for vector fields on compact Lie groups. (English) Zbl 07285368 J. Funct. Anal. 280, No. 2, Article ID 108806, 39 p. (2021). MSC: 35R03 43A80 35H10 58D25 PDF BibTeX XML Cite \textit{A. Kirilov} et al., J. Funct. Anal. 280, No. 2, Article ID 108806, 39 p. (2021; Zbl 07285368) Full Text: DOI
Ferra, Igor Ambo; Petronilho, Gerson; de Lessa Victor, Bruno Global \(\mathcal{M}\)-hypoellipticity, global \(\mathcal{M}\)-solvability and perturbations by lower order ultradifferential pseudodifferential operators. (English) Zbl 07308321 J. Fourier Anal. Appl. 26, No. 6, Paper No. 85, 40 p. (2020). MSC: 35H10 35H20 35S05 PDF BibTeX XML Cite \textit{I. A. Ferra} et al., J. Fourier Anal. Appl. 26, No. 6, Paper No. 85, 40 p. (2020; Zbl 07308321) Full Text: DOI
Damjanovic, Danijela; Tanis, James; Wang, Zhenqi Jenny On globally hypoelliptic abelian actions and their existence on homogeneous spaces. (English) Zbl 07273494 Discrete Contin. Dyn. Syst. 40, No. 12, 6747-6766 (2020). MSC: 37C85 37C15 37A17 37D40 37D20 14M17 57M60 PDF BibTeX XML Cite \textit{D. Damjanovic} et al., Discrete Contin. Dyn. Syst. 40, No. 12, 6747--6766 (2020; Zbl 07273494) Full Text: DOI
Albanese, Angela A. Global hypoelliptic vector fields in ultradifferentiable classes and normal forms. (English) Zbl 1452.35068 J. Math. Anal. Appl. 491, No. 1, Article ID 124286, 19 p. (2020). Reviewer: Luigi Rodino (Torino) MSC: 35H10 PDF BibTeX XML Cite \textit{A. A. Albanese}, J. Math. Anal. Appl. 491, No. 1, Article ID 124286, 19 p. (2020; Zbl 1452.35068) Full Text: DOI
de Ávila Silva, Fernando Global hypoellipticity for a class of periodic Cauchy operators. (English) Zbl 07153754 J. Math. Anal. Appl. 483, No. 2, Article ID 123650, 10 p. (2020). Reviewer: Angela Albanese (Lecce) MSC: 35B10 35H10 35S05 46E10 PDF BibTeX XML Cite \textit{F. de Ávila Silva}, J. Math. Anal. Appl. 483, No. 2, Article ID 123650, 10 p. (2020; Zbl 07153754) Full Text: DOI arXiv
Araújo, Gabriel Global regularity and solvability of left-invariant differential systems on compact Lie groups. (English) Zbl 1437.35685 Ann. Global Anal. Geom. 56, No. 4, 631-665 (2019). Reviewer: Luigi Rodino (Torino) MSC: 35R03 35S05 35A01 PDF BibTeX XML Cite \textit{G. Araújo}, Ann. Global Anal. Geom. 56, No. 4, 631--665 (2019; Zbl 1437.35685) Full Text: DOI
De Ávila Silva, Fernando; Kirilov, Alexandre Perturbations of globally hypoelliptic operators on closed manifolds. (English) Zbl 1430.58019 J. Spectr. Theory 9, No. 3, 825-855 (2019). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58J37 58J40 47A55 35H10 47A75 PDF BibTeX XML Cite \textit{F. De Ávila Silva} and \textit{A. Kirilov}, J. Spectr. Theory 9, No. 3, 825--855 (2019; Zbl 1430.58019) Full Text: DOI arXiv
Alexandre, Radjesvarane; Hérau, Frédéric; Li, Wei-Xi Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff. (English. French summary) Zbl 1450.35084 J. Math. Pures Appl. (9) 126, 1-71 (2019). MSC: 35B45 35S05 35H10 35H20 35B65 35Q20 82C40 PDF BibTeX XML Cite \textit{R. Alexandre} et al., J. Math. Pures Appl. (9) 126, 1--71 (2019; Zbl 1450.35084) Full Text: DOI
Li, Wei-Xi; Parmeggiani, Alberto; Wang, Yan-Lin Global Gevrey hypoellipticity for the twisted Laplacian on forms. (English) Zbl 1442.35075 J. Pseudo-Differ. Oper. Appl. 9, No. 2, 151-171 (2018). MSC: 35H10 35B65 PDF BibTeX XML Cite \textit{W.-X. Li} et al., J. Pseudo-Differ. Oper. Appl. 9, No. 2, 151--171 (2018; Zbl 1442.35075) Full Text: DOI
Liu, Lvqiao Global hypoelliptic estimate for Landau operator with external potential. (English) Zbl 1413.35145 J. Math., Wuhan Univ. 38, No. 3, 427-452 (2018). MSC: 35H10 35P15 PDF BibTeX XML Cite \textit{L. Liu}, J. Math., Wuhan Univ. 38, No. 3, 427--452 (2018; Zbl 1413.35145) Full Text: DOI
Li, Wei-Xi Compactness criteria for the resolvent of the Fokker-Planck operator. (English) Zbl 1404.35114 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 1, 119-143 (2018). Reviewer: Luigi Rodino (Torino) MSC: 35H10 47A10 PDF BibTeX XML Cite \textit{W.-X. Li}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 1, 119--143 (2018; Zbl 1404.35114) Full Text: DOI arXiv
Hwang, Hyung Ju; Jang, Juhi; Jung, Jaewoo The Fokker-Planck equation with absorbing boundary conditions in bounded domains. (English) Zbl 1392.35313 SIAM J. Math. Anal. 50, No. 2, 2194-2232 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q84 35A09 35B30 35D30 82C31 35B65 35A15 35A01 35B45 PDF BibTeX XML Cite \textit{H. J. Hwang} et al., SIAM J. Math. Anal. 50, No. 2, 2194--2232 (2018; Zbl 1392.35313) 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
Xu, Chao-Jiang Microlocal analysis on PDE: some contributions by Yoshinori Morimoto around kinetic equations. (English) Zbl 1402.35017 RIMS Kôkyûroku Bessatsu B67, 137-154 (2017). MSC: 35A27 35A02 35B65 35H20 76P05 35Q20 35-02 PDF BibTeX XML Cite \textit{C.-J. Xu}, RIMS Kôkyûroku Bessatsu B67, 137--154 (2017; Zbl 1402.35017)
Barostichi, R. F.; Ferra, I. A.; Petronilho, G. Global hypoellipticity and simultaneous approximability in ultradifferentiable classes. (English) Zbl 1366.58007 J. Math. Anal. Appl. 453, No. 1, 104-124 (2017). MSC: 58J05 58J15 PDF BibTeX XML Cite \textit{R. F. Barostichi} et al., J. Math. Anal. Appl. 453, No. 1, 104--124 (2017; Zbl 1366.58007) Full Text: DOI
Chinni, G.; Cordaro, P. D. On global analytic and Gevrey hypoellipticity on the torus and the Métivier inequality. (English) Zbl 1430.35064 Commun. Partial Differ. Equations 42, No. 1, 121-141 (2017). MSC: 35H10 35H20 35S05 PDF BibTeX XML Cite \textit{G. Chinni} and \textit{P. D. Cordaro}, Commun. Partial Differ. Equations 42, No. 1, 121--141 (2017; Zbl 1430.35064) Full Text: DOI
Catană, Viorel The generalized twisted bi-Laplacian and its spectral properties. (English) Zbl 06711555 Complex Var. Elliptic Equ. 62, No. 6, 814-824 (2017). MSC: 47F05 47G30 PDF BibTeX XML Cite \textit{V. Catană}, Complex Var. Elliptic Equ. 62, No. 6, 814--824 (2017; Zbl 06711555) 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
Rodrigues, N. Braun; Chinni, G.; Cordaro, P. D.; Jahnke, M. R. Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators. (English) Zbl 1361.35049 Proc. Am. Math. Soc. 144, No. 12, 5159-5170 (2016). Reviewer: Luigi Rodino (Torino) MSC: 35H10 35N15 PDF BibTeX XML Cite \textit{N. B. Rodrigues} et al., Proc. Am. Math. Soc. 144, No. 12, 5159--5170 (2016; Zbl 1361.35049) Full Text: DOI
Ruzhansky, Michael; Turunen, Ville; Wirth, Jens Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity. (English) Zbl 1432.35270 J. Fourier Anal. Appl. 20, No. 3, 476-499 (2014). MSC: 35S05 22E30 35H10 35R03 PDF BibTeX XML Cite \textit{M. Ruzhansky} et al., J. Fourier Anal. Appl. 20, No. 3, 476--499 (2014; Zbl 1432.35270) Full Text: DOI arXiv
Albanese, Angela A.; Jornet, David Global regularity in ultradifferentiable classes. (English) Zbl 1295.35149 Ann. Mat. Pura Appl. (4) 193, No. 2, 369-387 (2014). MSC: 35B65 35H10 35J70 46E10 46F05 PDF BibTeX XML Cite \textit{A. A. Albanese} and \textit{D. Jornet}, Ann. Mat. Pura Appl. (4) 193, No. 2, 369--387 (2014; Zbl 1295.35149) Full Text: DOI
Li, Wei-Xi; Parmeggiani, Alberto Global Gevrey hypoellipticity for twisted Laplacians. (English) Zbl 1295.35200 J. Pseudo-Differ. Oper. Appl. 4, No. 3, 279-296 (2013). MSC: 35H10 35B65 35H20 PDF BibTeX XML Cite \textit{W.-X. Li} and \textit{A. Parmeggiani}, J. Pseudo-Differ. Oper. Appl. 4, No. 3, 279--296 (2013; Zbl 1295.35200) Full Text: DOI
Hérau, Frédéric; Li, Wei-Xi Global hypoelliptic estimates for Landau-type operators with external potential. (English) Zbl 1316.35091 Kyoto J. Math. 53, No. 3, 533-565 (2013). Reviewer: Luigi Rodino (Torino) MSC: 35H10 35H20 35B65 82C40 35S05 PDF BibTeX XML Cite \textit{F. Hérau} and \textit{W.-X. Li}, Kyoto J. Math. 53, No. 3, 533--565 (2013; Zbl 1316.35091) Full Text: DOI Euclid
Molahajloo, Shahla; Wong, M. W. The heat kernel and Green function of a sub-Laplacian on the hierarchical Heisenberg group. (English) Zbl 1283.47053 Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 85-102 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47F05 35R03 47G30 43A80 PDF BibTeX XML Cite \textit{S. Molahajloo} and \textit{M. W. Wong}, Oper. Theory: Adv. Appl. 231, 85--102 (2013; Zbl 1283.47053) Full Text: DOI
Molahajloo, Shahla; Rodino, Luigi; Wong, M. W. Metaplectic equivalence of the hierarchical twisted Laplacian. (English) Zbl 1276.47064 Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 77-84 (2013). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 47G30 PDF BibTeX XML Cite \textit{S. Molahajloo} et al., Oper. Theory: Adv. Appl. 231, 77--84 (2013; Zbl 1276.47064) Full Text: DOI
Bismut, Jean-Michel Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. (English) Zbl 1273.58001 Progress in Mathematics 305. Basel: Birkhäuser/Springer (ISBN 978-3-319-00127-2/hbk; 978-3-319-00128-9/ebook). xv, 203 p. (2013). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58-02 58J05 58J20 19K56 58J35 32L05 PDF BibTeX XML Cite \textit{J.-M. Bismut}, Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Basel: Birkhäuser/Springer (2013; Zbl 1273.58001) Full Text: DOI
Mendoza, Gerardo A. Topological implications of global hypoellipticity. (English) Zbl 1264.58014 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 125-127 (2013). MSC: 58J10 35H10 35B65 35F05 57R22 PDF BibTeX XML Cite \textit{G. A. Mendoza}, in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 125--127 (2013; Zbl 1264.58014) Full Text: DOI
Treves, François On the solvability of planar complex linear vector fields. (English) Zbl 1278.35005 Trans. Am. Math. Soc. 364, No. 9, 4629-4662 (2012). Reviewer: Petar Popivanov (Sofia) MSC: 35A01 35F05 35D30 35H10 PDF BibTeX XML Cite \textit{F. Treves}, Trans. Am. Math. Soc. 364, No. 9, 4629--4662 (2012; Zbl 1278.35005) Full Text: DOI
Gramchevf, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, Man Wah Spectra of polynomials of the twisted Laplacian. (English) Zbl 1276.47061 Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 144(2010), 143-152 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 35P05 35B65 PDF BibTeX XML Cite \textit{T. Gramchevf} et al., Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 144, 143--152 (2012; Zbl 1276.47061)
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
Catană, Viorel The heat kernel and Green function of the generalized Hermite operator, and the abstract Cauchy problem for the abstract Hermite operator. (English) Zbl 1266.47068 Rodino, Luigi (ed.) et al., Pseudo-differential operators: analysis, applications and computations. Selected papers based on lectures presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO), London, UK, July 13–18, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0048-8/hbk; 978-3-0348-0049-5/ebook). Operator Theory: Advances and Applications 213, 155-171 (2011). Reviewer: Matheus Cheque Bortolan (São Carlos) MSC: 47F05 47A75 47D06 35Q40 PDF BibTeX XML Cite \textit{V. Catană}, Oper. Theory: Adv. Appl. 213, 155--171 (2011; Zbl 1266.47068) Full Text: DOI
Albanese, Angela A. On the global \(C^\infty\) and Gevrey hypoellipticity on the torus of some classes of degenerate elliptic operators. (English) Zbl 1248.35053 Note Mat. 31, No. 1, 1-14 (2011). MSC: 35H10 35J70 46E10 46F05 58J05 PDF BibTeX XML Cite \textit{A. A. Albanese}, Note Mat. 31, No. 1, 1--14 (2011; Zbl 1248.35053) Full Text: Link
Petronilho, G. Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application. (English) Zbl 1235.35010 Trans. Am. Math. Soc. 363, No. 12, 6337-6349 (2011). Reviewer: Petar Popivanov (Sofia) MSC: 35A01 35F05 35H10 PDF BibTeX XML Cite \textit{G. Petronilho}, Trans. Am. Math. Soc. 363, No. 12, 6337--6349 (2011; Zbl 1235.35010) Full Text: DOI
Bismut, Jean-Michel Hypoelliptic Laplacian and orbital integrals. (English) Zbl 1234.58001 Annals of Mathematics Studies 177. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15130-4/pbk; 978-0-691-15129-8/hbk; 978-1-400-84057-1/ebook). xi, 330 p. (2011). Reviewer: Luigi Rodino (Torino) MSC: 58-02 58J35 58J20 35H10 58J05 PDF BibTeX XML Cite \textit{J.-M. Bismut}, Hypoelliptic Laplacian and orbital integrals. Princeton, NJ: Princeton University Press (2011; Zbl 1234.58001) Full Text: DOI
Molahajloo, Shahla The heat kernel of the \(\tau \)-twisted Laplacian. (English) Zbl 1231.47045 J. Pseudo-Differ. Oper. Appl. 1, No. 3, 293-311 (2010). Reviewer: Lizhong Peng (Beijing) MSC: 47F05 47G30 PDF BibTeX XML Cite \textit{S. Molahajloo}, J. Pseudo-Differ. Oper. Appl. 1, No. 3, 293--311 (2010; Zbl 1231.47045) Full Text: DOI
Dasgupta, Aparajita; Wong, M. W. Fourier-Wigner transforms and Liouville’s theorems for the sub-Laplacian on the Heisenberg group. (English) Zbl 1206.43006 Kamiński, Andrzej (ed.) et al., Linear and non-linear theory of generalized functions and its applications. Proceedings of the Banach Center conference, Bȩdlewo, Poland, September 2–8, 2007. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-07-2/pbk). Banach Center Publications 88, 67-75 (2010). Reviewer: Vitaly Vladimirovich Volchkov (Donetsk) MSC: 43A80 42B35 46F12 35H20 47F05 47G30 PDF BibTeX XML Cite \textit{A. Dasgupta} and \textit{M. W. Wong}, Banach Cent. Publ. 88, 67--75 (2010; Zbl 1206.43006) Full Text: DOI
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi; Wong, M. W. Spectral properties of the twisted bi-Laplacian. (English) Zbl 1186.47041 Arch. Math. 93, No. 6, 565-575 (2009). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47F05 47G30 PDF BibTeX XML Cite \textit{T. Gramchev} et al., Arch. Math. 93, No. 6, 565--575 (2009; Zbl 1186.47041) 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
Gramchev, Todor; Pilipović, Stevan; Rodino, Luigi Classes of degenerate elliptic operators in Gelfand–Shilov spaces. (English) Zbl 1170.47031 Rodino, Luigi (ed.) et al., New developments in pseudo-differential operators. Selected papers of the 6th congress of the International Society for Analysis, its Applications and Computation (ISAAC), the ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8968-0/hbk). Operator Theory: Advances and Applications 189, 15-31 (2009). Reviewer: Petru A. Cojuhari (Kraków) MSC: 47G30 46F05 35B65 PDF BibTeX XML Cite \textit{T. Gramchev} et al., Oper. Theory: Adv. Appl. 189, 15--31 (2007; Zbl 1170.47031) Full Text: DOI
Treves, François On the analyticity of solutions of sums of squares of vector fields. (English) Zbl 1214.35012 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/ebook). Progress in Nonlinear Differential Equations and Their Applications 69, 315-329 (2006). Reviewer: Petar Popivanov (Sofia) MSC: 35H10 35A20 PDF BibTeX XML Cite \textit{F. Treves}, Prog. Nonlinear Differ. Equ. Appl. 69, 315--329 (2006; Zbl 1214.35012)
Himonas, A. A.; Petronilho, G.; Dos Santos, L. A. C. Regularity of a class of subLaplacians on the 3-dimensional torus. (English) Zbl 1112.58021 J. Funct. Anal. 240, No. 2, 568-591 (2006). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 35H10 PDF BibTeX XML Cite \textit{A. A. Himonas} et al., J. Funct. Anal. 240, No. 2, 568--591 (2006; Zbl 1112.58021) Full Text: DOI
Kohn, J. J. Hypoellipticity and loss of derivatives. (English) Zbl 1107.35044 Ann. Math. (2) 162, No. 2, 943-986 (2005). Reviewer: Akira Tsutsumi (Suita) MSC: 35H10 35H20 35B65 58A10 PDF BibTeX XML Cite \textit{J. J. Kohn}, Ann. Math. (2) 162, No. 2, 943--986 (2005; Zbl 1107.35044) Full Text: DOI
Wong, M. W. Weyl transforms, the heat kernel and Green function of a degenerate elliptic operator. (English) Zbl 1094.47046 Ann. Global Anal. Geom. 28, No. 3, 271-283 (2005). Reviewer: Alexander Isaakovich Shtern (Moskva) MSC: 47G30 35H20 35A08 35A22 35J70 35S30 PDF BibTeX XML Cite \textit{M. W. Wong}, Ann. Global Anal. Geom. 28, No. 3, 271--283 (2005; Zbl 1094.47046) Full Text: DOI
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
Petronilho, Gerson Global \(s\)-solvability, global \(s\)-hypoellipticity and Diophantine phenomena. (English) Zbl 1065.35100 Indag. Math., New Ser. 16, No. 1, 67-90 (2005). MSC: 35H10 35C10 35A05 35H20 PDF BibTeX XML Cite \textit{G. Petronilho}, Indag. Math., New Ser. 16, No. 1, 67--90 (2005; Zbl 1065.35100) Full Text: DOI
Albanese, A. A.; Zanghirati, L. Global hypoellipticity and global solvability in Gevrey classes on the \(n\)-dimensional torus. (English) Zbl 1063.35059 J. Differ. Equations 199, No. 2, 256-268 (2004). Reviewer: Fumihiko Hirosawa (Saitama) MSC: 35H10 PDF BibTeX XML Cite \textit{A. A. Albanese} and \textit{L. Zanghirati}, J. Differ. Equations 199, No. 2, 256--268 (2004; Zbl 1063.35059) Full Text: DOI
Garetto, Claudia Pseudo-differential operators in algebras of generalized functions and global hypoellipticity. (English) Zbl 1060.46029 Acta Appl. Math. 80, No. 2, 123-174 (2004). Reviewer: Irina V. Melnikova (Ekaterinburg) MSC: 46F30 47G30 35H10 PDF BibTeX XML Cite \textit{C. Garetto}, Acta Appl. Math. 80, No. 2, 123--174 (2004; Zbl 1060.46029) Full Text: DOI arXiv
Peloso, Marco M.; Ricci, Fulvio Tangential Cauchy-Riemann equations on quadratic CR manifolds. (English) Zbl 1225.32037 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 13, No. 3-4, 285-294 (2002). MSC: 32V20 PDF BibTeX XML Cite \textit{M. M. Peloso} and \textit{F. Ricci}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 13, No. 3--4, 285--294 (2002; Zbl 1225.32037)
Dickinson, Detta; Gramchev, Todor; Yoshino, Masafumi Perturbations of vector fields on tori: Resonant normal forms and Diophantine phenomena. (English) Zbl 1032.37010 Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 731-759 (2002). Reviewer: Veikko Ennola (Turku) MSC: 37C15 11J13 58J40 11J20 35S05 PDF BibTeX XML Cite \textit{D. Dickinson} et al., Proc. Edinb. Math. Soc., II. Ser. 45, No. 3, 731--759 (2002; Zbl 1032.37010) Full Text: DOI
Mejjaoli, H.; Trimèche, K. On a mean value property associated with the Dunkl Laplacian operator and applications. (English) Zbl 1027.47026 Integral Transforms Spec. Funct. 12, No. 3, 279-302 (2001). Reviewer: L.Rodino (Torino) MSC: 47B38 33C67 44A15 46E35 PDF BibTeX XML Cite \textit{H. Mejjaoli} and \textit{K. Trimèche}, Integral Transforms Spec. Funct. 12, No. 3, 279--302 (2001; Zbl 1027.47026) Full Text: DOI
Christ, Michael Singularity and regularity – local and global. (English) Zbl 0913.32003 Doc. Math., Extra Vol. ICM Berlin 1998, vol. II, 627-636 (1998). Reviewer: E.J.Straube (College Station) MSC: 32W05 35N15 35P30 42B99 PDF BibTeX XML Cite \textit{M. Christ}, Doc. Math. Extra Vol., 627--636 (1998; Zbl 0913.32003) Full Text: EMIS EuDML
Derridj, Makhlouf Global analyticity of the canonical solution of \(\bar\partial_b\) for a class of pseudoconvex compact hypersurfaces of \(\mathbb{C}^2\). (Analyticite globale de la solution canonique de \(\bar\partial_b\) pour une classe d’hypersurfaces compactes pseudoconvexes de \(\mathbb{C}^2\).) (French) Zbl 0916.35020 Math. Res. Lett. 4, No. 5, 667-677 (1997). Reviewer: P.Popivanov (Sofia) MSC: 35H10 32W05 PDF BibTeX XML Cite \textit{M. Derridj}, Math. Res. Lett. 4, No. 5, 667--677 (1997; Zbl 0916.35020) 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
Cordaro, Paulo D. Global hypoellipticity for \(\overline\partial{}_b\) on certain compact three-dimensional CR manifolds. (English) Zbl 0987.32019 Resen. Inst. Mat. Estat. Univ. São Paulo 2, No. 4, 353-361 (1996). MSC: 32W10 35H10 35N15 PDF BibTeX XML Cite \textit{P. D. Cordaro}, Resen. Inst. Mat. Estat. Univ. São Paulo 2, No. 4, 353--361 (1996; Zbl 0987.32019)
Tartakoff, David S. Global (and local) analyticity for second order operators constructed from rigid vector fields on products of tori. (English) Zbl 0863.58063 Trans. Am. Math. Soc. 348, No. 7, 2577-2583 (1996). MSC: 58J15 35N15 35B65 32W05 PDF BibTeX XML Cite \textit{D. S. Tartakoff}, Trans. Am. Math. Soc. 348, No. 7, 2577--2583 (1996; Zbl 0863.58063) Full Text: DOI arXiv
Himonas, A. Alexandrou On degenerate elliptic operators of infinite type. (English) Zbl 0843.35020 Math. Z. 220, No. 3, 449-460 (1995). Reviewer: A.A.Himonas (Notre Dame/IN) MSC: 35H10 35J70 58J05 PDF BibTeX XML Cite \textit{A. A. Himonas}, Math. Z. 220, No. 3, 449--460 (1995; Zbl 0843.35020) Full Text: DOI EuDML
Gramchev, Todor; Yoshino, Masafumi WKB analysis to global solvability and hypoellipticity. (English) Zbl 0842.35021 Publ. Res. Inst. Math. Sci. 31, No. 3, 443-464 (1995). Reviewer: P.Popivanov (Sofia) MSC: 35H10 34E20 PDF BibTeX XML Cite \textit{T. Gramchev} and \textit{M. Yoshino}, Publ. Res. Inst. Math. Sci. 31, No. 3, 443--464 (1995; Zbl 0842.35021) Full Text: DOI
Christ, Michael Global analytic hypoellipticity in the presence of symmetry. (English) Zbl 0841.35027 Math. Res. Lett. 1, No. 5, 559-563 (1994). Reviewer: P.Popivanov (Sofia) MSC: 35H10 58J70 PDF BibTeX XML Cite \textit{M. Christ}, Math. Res. Lett. 1, No. 5, 559--563 (1994; Zbl 0841.35027) Full Text: DOI
Cordaro, Paulo D.; Himonas, A. Alexandrou Global analytic hypoellipticity of a class of degenerate elliptic operators on the torus. (English) Zbl 0836.35036 Math. Res. Lett. 1, No. 4, 501-510 (1994). Reviewer: N.A.Lar’kin (Maringa) MSC: 35H10 35J70 PDF BibTeX XML Cite \textit{P. D. Cordaro} and \textit{A. A. Himonas}, Math. Res. Lett. 1, No. 4, 501--510 (1994; Zbl 0836.35036) 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
Gramchev, T.; Popivanov, P.; Yoshino, M. Global properties in spaces of generalized functions on the torus for second order differential operators with variable coefficients. (English) Zbl 0824.35027 Rend. Semin. Mat., Torino 51, No. 2, 145-172 (1993). MSC: 35H10 35A05 58J60 PDF BibTeX XML Cite \textit{T. Gramchev} et al., Rend. Semin. Mat., Torino 51, No. 2, 145--172 (1993; Zbl 0824.35027)
Derridj, Makhlouf; Tartakoff, David S. Global analyticity for \(\square_ b\) on three dimensional pseudoconvex CR manifolds. (English) Zbl 0791.35087 Commun. Partial Differ. Equations 18, No. 11, 1847-1868 (1993). Reviewer: S.G.Krantz (St.Louis) MSC: 35N15 32W05 32T99 PDF BibTeX XML Cite \textit{M. Derridj} and \textit{D. S. Tartakoff}, Commun. Partial Differ. Equations 18, No. 11, 1847--1868 (1993; Zbl 0791.35087) Full Text: DOI
Bergamasco, Adalberto P.; Cordaro, Paulo D.; Malagutti, Pedro A. Globally hypoelliptic systems of vector fields. (English) Zbl 0777.58041 J. Funct. Anal. 114, No. 2, 267-285 (1993). Reviewer: N.Jacob (Erlangen) MSC: 58J60 65H10 PDF BibTeX XML Cite \textit{A. P. Bergamasco} et al., J. Funct. Anal. 114, No. 2, 267--285 (1993; Zbl 0777.58041) Full Text: DOI
Gramchev, Todor; Popivanov, Petar; Yoshino, Masafumi Global solvability and hypoellipticity on the torus for a class of differential operators with variable coefficients. (English) Zbl 0805.35023 Proc. Japan Acad., Ser. A 68, No. 3, 53-57 (1992). Reviewer: G.Gussi (Bucureşti) MSC: 35H10 35A05 PDF BibTeX XML Cite \textit{T. Gramchev} et al., Proc. Japan Acad., Ser. A 68, No. 3, 53--57 (1992; Zbl 0805.35023) Full Text: DOI
Omori, Hideki On global hypoellipticity of horizontal Laplacians on compact principal bundles. (English) Zbl 0734.58047 Hokkaido Math. J. 20, No. 2, 185-194 (1991). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J99 65H10 PDF BibTeX XML Cite \textit{H. Omori}, Hokkaido Math. J. 20, No. 2, 185--194 (1991; Zbl 0734.58047) Full Text: DOI
Yoshino, Masafumi Global hypoellipticity and continued fractions. (English) Zbl 0734.58042 Tsukuba J. Math. 15, No. 1, 193-203 (1991). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J40 65H10 35P20 PDF BibTeX XML Cite \textit{M. Yoshino}, Tsukuba J. Math. 15, No. 1, 193--203 (1991; Zbl 0734.58042) Full Text: DOI
Yoshino, Masafumi Global hypoellipticity of a Mathieu operator. (English) Zbl 0727.35035 Proc. Am. Math. Soc. 111, No. 3, 717-720 (1991). Reviewer: N.Jacob (Erlangen) MSC: 35H10 PDF BibTeX XML Cite \textit{M. Yoshino}, Proc. Am. Math. Soc. 111, No. 3, 717--720 (1991; Zbl 0727.35035) Full Text: DOI
Yoshino, Masafumi Hypoellipticity and existence of periodic solutions on \(T^ d\). (English) Zbl 0701.35057 Proc. Japan Acad., Ser. A 65, No. 4, 106-108 (1989). Reviewer: L.Rodino MSC: 35H10 35S05 35G05 35B10 PDF BibTeX XML Cite \textit{M. Yoshino}, Proc. Japan Acad., Ser. A 65, No. 4, 106--108 (1989; Zbl 0701.35057) Full Text: DOI
Yoshino, Masafumi A class of globally hypoelliptic operators on the torus. (English) Zbl 0644.35027 Math. Z. 201, No. 1, 1-11 (1989). Reviewer: M.Yoshino MSC: 35H10 PDF BibTeX XML Cite \textit{M. Yoshino}, Math. Z. 201, No. 1, 1--11 (1989; Zbl 0644.35027) Full Text: DOI EuDML
Amano, Kazuo The global hypoellipticity of degenerate elliptic-parabolic operators. (English) Zbl 0692.35033 J. Math. Soc. Japan 40, No. 2, 181-204 (1988). Reviewer: J.Tian MSC: 35H10 35S05 35J70 PDF BibTeX XML Cite \textit{K. Amano}, J. Math. Soc. Japan 40, No. 2, 181--204 (1988; Zbl 0692.35033) Full Text: DOI
Nagel, Alexander Vector fields and nonisotropic metrics. (English) Zbl 0607.35011 Beijing lectures in harmonic analysis, Ann. Math. Stud. 112, 241-306 (1986). Reviewer: St.Krantz MSC: 35A30 35N15 32E35 32T99 PDF BibTeX XML
Taira, K. Le principe du maximum et l’hypoellipticité globale. (The maximum principle and global hypoellipticity). (French) Zbl 0582.35023 Sémin. Bony-Sjöstrand-Meyer, Équations Dériv. Partielles 1984-1985, Exp. No. 1, 10 p. (1985). Reviewer: B.Nowak MSC: 35H10 35J70 58J65 60J25 PDF BibTeX XML Full Text: Numdam EuDML
Kobayashi, Osamu; Yoshioka, Akira; Maeda, Yoshiaki; Omori, Hideki Theory of infinite dimensional Lie groups and its applications. (English) Zbl 0527.58002 Acta Appl. Math. 3, 71-106 (1985). MSC: 58B25 22E65 65H10 58J40 PDF BibTeX XML Cite \textit{O. Kobayashi} et al., Acta Appl. Math. 3, 71--106 (1985; Zbl 0527.58002) Full Text: DOI
Amano, Kazuo The global hypoellipticity of a class of degenerate elliptic-parabolic operators. (English) Zbl 0574.35019 Proc. Japan Acad., Ser. A 60, 312-314 (1984). Reviewer: B.Helffer MSC: 35H10 PDF BibTeX XML Cite \textit{K. Amano}, Proc. Japan Acad., Ser. A 60, 312--314 (1984; Zbl 0574.35019) Full Text: DOI
Michel, Dominique Conditional laws and Hörmander’s condition. (English) Zbl 0573.60035 Stochastic analysis, Proc. Taniguchi Int. Symp., Katata & Kyoto/Jap. 1982, North-Holland Math. Libr. 32, 387-408 (1984). Reviewer: M.Breger MSC: 60G35 93E11 60H10 65H10 PDF BibTeX XML
Trèves, François Introduction to pseudodifferential and Fourier integral operators. Vol. 1: Pseudodifferential operators. Vol. 2: Fourier integral operators. (Vvedenie v teoriyu psevdodifferentsial’nykh operatorov i integral’nykh opratorov Fur’e. T. 1: Psevdodifferentsial’nye operatory. T. 2: Integral’nye operatory Fur’e). Transl. from the English. (Russian) Zbl 0547.47031 Moskva: Izdatel’stvo ”Mir”. 359 p.; 398 p. (1984). MSC: 47Gxx 47-02 35S05 35-02 58-02 45P05 42B10 35J40 PDF BibTeX XML
Kaplan, Aroldo Lie groups of Heisenberg type. (English) Zbl 0634.53033 Differential geometry on homogeneous spaces, Conf. Torino/Italy 1983, Rend. Semin. Mat., Torino, Fasc. Spec., 117-130 (1983). Reviewer: O.Kowalski MSC: 53C30 53C20 22E25 43A80 15A66 PDF BibTeX XML
Popivanov, P. R. A link between small divisors and smoothness of the solutions of a class of partial differential operators. (English) Zbl 0529.35019 Ann. Global Anal. Geom. 1, No. 3, 77-92 (1983). MSC: 35H10 35A30 46F05 PDF BibTeX XML Cite \textit{P. R. Popivanov}, Ann. Global Anal. Geom. 1, No. 3, 77--92 (1983; Zbl 0529.35019) Full Text: DOI
Popivanov, Peter Propriétés hypoelliptiques d’une classe d’opérateurs différentiels à caractéristiques de multiplicité variable. (French) Zbl 0496.35025 C. R. Acad. Sci., Paris, Sér. I 294, 177-180 (1982). MSC: 35H10 PDF BibTeX XML Cite \textit{P. Popivanov}, C. R. Acad. Sci., Paris, Sér. I 294, 177--180 (1982; Zbl 0496.35025)
Hounie, Jorge On global hypoellipticity of vector fields. (English) Zbl 0489.35032 Journ. Équ. Dériv. Partielles, Saint-Jean-De-Monts 1982, Exp. No. 3, 8 p. (1982). MSC: 35H10 35S05 58J40 PDF BibTeX XML Full Text: Numdam EuDML
Hounie, Jorge Globally hypoelliptic and globally solvable first order evolution equations. (English) Zbl 0424.35030 Trans. Am. Math. Soc. 252, 233-248 (1979). MSC: 35H10 43A75 PDF BibTeX XML Cite \textit{J. Hounie}, Trans. Am. Math. Soc. 252, 233--248 (1979; Zbl 0424.35030) Full Text: DOI
Cardoso, Fernando; Hounie, Jorge Globally hypoanalytic first order evolution equations. (English) Zbl 0399.35099 Notas Comun. Mat., Recife 77, 8 p. (1977). MSC: 35S05 PDF BibTeX XML