Kaliman, Shulim; Zaidenberg, Mikhail Gromov ellipticity and subellipticity. (English) Zbl 07812394 Forum Math. 36, No. 2, 373-376 (2024). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14R10 14D06 32Q56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pravda-Starov, Karel Resolvent estimates and localization of the spectrum for certain classes of non-selfadjoint semiclassical pseudodifferential operators (after Dencker, Sjöstrand and Zworski). (Estimations de résolvante et localisation du spectre pour certaines classes d’opérateurs pseudo-différentiels semi-classiques non autoadjoints (d’après Nils Dencker, Johannes Sjöstrand et Maciej Zworski).) (French) Zbl 1492.35174 Séminaire Bourbaki. Volume 2019/2021. Exposés 1166–1180. Avec table par noms d’auteurs de 1948/49 à 2019/21. Paris: Société Mathématique de France (SMF). Astérisque 430, 93-129, Exp. No. 1169 (2021). MSC: 35P15 35A27 35H20 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Derridj, Makhlouf On microlocal regularity for involutive systems of complex vector fields of tube type in \(\mathbb R^{n+m}\). (English) Zbl 1332.35012 Baklouti, Ali (ed.) et al., Analysis and geometry. MIMS-GGTM, Tunis, Tunisia, March 24–27, 2014. Proceedings of the international conference. In honour of Mohammed Salah Baouendi. Cham: Springer (ISBN 978-3-319-17442-6/hbk; 978-3-319-17443-3/ebook). Springer Proceedings in Mathematics & Statistics 127, 161-196 (2015). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35A27 35F05 35F35 × Cite Format Result Cite Review PDF Full Text: DOI
Mughetti, Marco Parametrices for pseudodifferential operators with multiple characteristics. (English) Zbl 1347.47032 J. Pseudo-Differ. Oper. Appl. 5, No. 3, 343-358 (2014). Reviewer: Luigi Rodino (Torino) MSC: 47G30 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Korobenko, Lyudmila; Rios, Cristian Hypoellipticity of certain infinitely degenerate second order operators. (English) Zbl 1388.35013 J. Math. Anal. Appl. 409, No. 1, 41-55 (2014). MSC: 35H10 30H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Derridj, Makhlouf; Helffer, Bernard Subellipticity and maximal hypoellipticity for two complex vector fields in \((2+2)\)-variables. (English) Zbl 1235.35073 Barkatou, Y. (ed.) et al., Geometric analysis of several complex variables and related topics. Proceedings of the workshop, Marrakesh, Morocco, May 10–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5257-6/pbk). Contemporary Mathematics 550, 15-56 (2011). Reviewer: Petar Popivanov (Sofia) MSC: 35F05 35B65 35H10 35H20 × Cite Format Result Cite Review PDF
Chen, Hua; Li, Weixi; Xu, Chaojiang Gevrey regularity of subelliptic Monge-Ampère equations in the plane. (English) Zbl 1242.35104 Adv. Math. 228, No. 3, 1816-1841 (2011). MSC: 35H20 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khanh, Tran Vu; Zampieri, Giuseppe Regularity of the \(\bar {\partial }\)-Neumann problem at point of infinite type. (English) Zbl 1210.32019 J. Funct. Anal. 259, No. 11, 2760-2775 (2010). Reviewer: Emil J. Straube (College Station) MSC: 32W05 32W10 32F10 × Cite Format Result Cite Review PDF Full Text: DOI
Altomani, Andrea; Hill, C. Denson; Nacinovich, Mauro; Porten, Egmont Complex vector fields and hypoelliptic partial differential operators. (English) Zbl 1197.35083 Ann. Inst. Fourier 60, No. 3, 987-1034 (2010). Reviewer: Marco Biroli (Milano) MSC: 35H20 35H10 32V20 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Derridj, M.; Helffer, B. On the subellipticity of some hypoelliptic quasihomogeneous systems of complex vector fields. (English) Zbl 1201.35093 Ebenfelt, Peter (ed.) et al., Complex analysis. Several complex variables and connections with PDE theory and geometry. Proceedings of the conference in honour of Linda Rothschild, Fribourg, Switzerland, July 7–11, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0008-8/hbk). Trends in Mathematics, 109-123 (2010). Reviewer: Marco Biroli (Milano) MSC: 35H20 35B65 35H10 × Cite Format Result Cite Review PDF
Dencker, Nils The solvability and subellipticity of systems of pseudodifferential operators. (English) Zbl 1198.35294 Bove, Antonio (ed.) et al., Advances in phase space analysis of partial differential equations. In Honor of Ferruccio Colombini’s 60th birthday. Selected papers based on the workshop, Siena, Italy, October 2007. Boston, MA: Birkhäuser (ISBN 978-0-8176-4860-2/hbk; 978-0-8176-4861-9/ebook). Progress in Nonlinear Differential Equations and Their Applications 78, 73-94 (2009). MSC: 35S05 47G30 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldi, Annalisa; Franchi, Bruno; Tesi, Maria Carla Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups. (English) Zbl 1184.35117 J. Eur. Math. Soc. (JEMS) 11, No. 4, 777-798 (2009). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35H10 35H20 35B05 43A80 35B53 35R03 35A08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Çelik, Mehmet; Straube, Emil J. Observations regarding compactness in the \(\bar \partial \)-Neumann problem. (English) Zbl 1165.32018 Complex Var. Elliptic Equ. 54, No. 3-4, 173-186 (2009). MSC: 32W05 32N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakry, Dominique; Baudoin, Fabrice; Bonnefont, Michel; Qian, Bin Subelliptic Li–Yau estimations on three dimensional model spaces. (English) Zbl 1199.35051 Bakry, D. (ed.) et al., Potential theory and stochastics in Albac. Aurel Cornea memorial volume. Conference proceedings, Albac, Romania, September 4–8, 2007. Bucharest: Theta (ISBN 978-973-87899-5-1). Theta Series in Advanced Mathematics 11, 1-10 (2009). MSC: 35H20 58J35 35R03 × Cite Format Result Cite Review PDF Full Text: arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kohn, Joseph J. Multiplier ideals and microlocalization. (English) Zbl 1062.35010 Chang, Sun-Yung Alice (ed.) et al., Lectures on partial differential equations. Proceedings of the conference, Hsinchu, Taiwan, September 2000 in honor of Louis Nirenberg’s 75th birthday. Somerville, MA: International Press (ISBN 1-57146-111-6/hbk). New Stud. Adv. Math. 2, 141-151 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35A27 35H10 35H20 × Cite Format Result Cite Review PDF
Kohn, Joseph J. Hypoellipticity at non-subelliptic points. (English) Zbl 1014.32033 McNeal, Jeffery D. (ed.), Complex analysis and geometry. Proceedings of a conference at the Ohio State University, Columbus, OH, USA, June 3-6, 1999. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 9, 163-170 (2001). Reviewer: A.Morimoto (Nagoya) MSC: 32W99 × Cite Format Result Cite Review PDF
Christ, Michael Hypoellipticity in the infinitely degenerate regime. (English) Zbl 1015.32032 McNeal, Jeffery D. (ed.), Complex analysis and geometry. Proceedings of a conference at the Ohio State University, Columbus, OH, USA, June 3-6, 1999. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 9, 59-84 (2001). Reviewer: A.Morimoto (Nagoya) MSC: 32W25 35H10 35H20 × Cite Format Result Cite Review PDF
Zheng, Zhujun; Duan, Yishi A sufficient and necessary condition for hypoellipticity of a class of left-invariant differential operators on a two-step stratified nilpotent Lie group. (Chinese. English summary) Zbl 0962.35046 Acta Math. Appl. Sin. 22, No. 3, 321-326 (1999). MSC: 35H10 35H20 × Cite Format Result Cite Review PDF
Robbiano, Luc; Zuily, Claude Uniqueness in the Cauchy problem for operators with partially holomorphic coefficients. (English) Zbl 0909.35004 Invent. Math. 131, No. 3, 493-539 (1998). Reviewer: M.Reissig (Freiberg) MSC: 35A07 35A22 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
ter Elst, A. F. M.; Robinson, Derek W. Second-order strongly elliptic operators on Lie groups with Hölder continuous coefficients. (English) Zbl 0893.35024 J. Aust. Math. Soc., Ser. A 63, No. 3, 297-363 (1997). MSC: 35J15 58J05 35B65 22E30 × Cite Format Result Cite Review PDF
ter Elst, A. F. M.; Robinson, Derek W.; Sikora, Adam Heat kernels and Riesz transforms on nilpotent Lie groups. (English) Zbl 0891.35030 Colloq. Math. 74, No. 2, 191-218 (1997). Reviewer: J.Chrastina (Brno) MSC: 35J30 22E25 44A15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Lerner, Nicolas Coherent states and evolution equations. (English) Zbl 0865.35153 Qi, Min-You (ed.) et al., General theory of partial differential equations and microlocal analysis. Proceedings of a workshop, ICTP, Trieste, Italy, September 4–15, 1995. Harlow: Longman. Pitman Res. Notes Math. Ser. 349, 123-154 (1996). Reviewer: P.Godin (Bruxelles) MSC: 35S05 65H10 81S10 × Cite Format Result Cite Review PDF
Derridj, Makhlouf Subellipticity of the \(\bar\partial\)-Neumann problem in a pseudo-convex domain of \(\mathbb{C}^ n\) [after D. Catlin]. (La sous-ellipticité pour le problème \(\bar\partial\)-Neumann dans un domaine pseudoconvexe de \(\mathbb{C}^ n\) [d’après D. Catlin].) (French) Zbl 0874.35028 Séminaire Bourbaki. Volume 1994/95. Exposés 790-804. Paris: Société Mathématique de France, Astérisque. 237, 7-27, Exp. No. 790 (1996). Reviewer: B.Helffer (Orsay) MSC: 35H10 32T99 32W05 35N15 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
ter Elst, A. F. M.; Robinson, Derek W. Subcoercivity and subelliptic operators on Lie groups. II: The general case. (English) Zbl 0841.43016 Potential Anal. 4, No. 3, 205-243 (1995). Reviewer: Yu.I.Karlovich (Chemnitz) MSC: 43A65 22E45 35B45 35J15 35J30 58J05 22E25 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Zhujun; Zhang, Zhiping A sufficient and necessary condition for subellipticity of left invariant differential operators on nilpotent left group \(G^{2n+k}\). (English) Zbl 0969.22502 Chin. Q. J. Math. 10, No. 2, 81-84 (1995). MSC: 22E30 × Cite Format Result Cite Review PDF
Mustapha, Sami Subellipticity in case of \(S(m,g)\) calculus. (Sous ellipticité dans le cadre du calcul \(S(m,g)\).) (French) Zbl 0795.35155 Commun. Partial Differ. Equations 19, No. 1-2, 245-275 (1994). Reviewer: L.Rodino (Torino) MSC: 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Lop-hing Sufficient conditions for subellipticity of the \(\bar\partial\)-Neumann problem on nonpseudoconvex domains. (English) Zbl 0813.32015 Gong, Sheng (ed.) et al., International symposium on number theory and analysis in memory of Hua Loo Keng, held at the Tsing Hua University, Beijing, China, August 1-7, 1988. Volume II: Analysis. Berlin: Springer- Verlag. 135-141 (1991). Reviewer: J.Schmeelk (Richmond) MSC: 32W05 35N15 × Cite Format Result Cite Review PDF
Ho, Lop-Hing An inequality with applications to the subellipticity of the \({\bar \partial}\)-Neumann problem. (English) Zbl 0731.35068 Proc. Am. Math. Soc. 111, No. 1, 135-138 (1991). Reviewer: P.Bolley (Nantes) MSC: 35N15 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Cancelier, C. E.; Chemin, J. Y. Sous-ellipticité d’opérateurs intégro-différentiels vérifiant le principe du maximum. (Subellipticity of integro-differential operators satisfying the maximum principle). (French) Zbl 0742.35077 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.XXII, 10 p. (1991). MSC: 35S05 47G30 35B50 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Smith, Hart F. Parametrix construction for a class of subelliptic differential operators. (English) Zbl 0777.35002 Duke Math. J. 63, No. 2, 343-354 (1991). Reviewer: J.Alvarez (Las Cruces) MSC: 35A08 35D10 35S05 42B20 46B70 × Cite Format Result Cite Review PDF Full Text: DOI
Dehman, B. Resolubilité local pour des équations semi linéaires complexes. (Local solvability of complex semilinear equations). (French) Zbl 0718.35027 Can. J. Math. 42, No. 1, 126-140 (1990). Reviewer: J.Janas (Kraków) MSC: 35G20 35A07 × Cite Format Result Cite Review PDF Full Text: DOI
Varopoulos, Nicolas-Th. Opérateurs sous-elliptiques du second ordre. (Second order subelliptic operators). (French) Zbl 0699.35054 C. R. Acad. Sci., Paris, Sér. I 308, No. 14, 437-440 (1989). Reviewer: St.Tersian MSC: 35J15 35A08 × Cite Format Result Cite Review PDF
Christ, Michael Regularity properties of the \({\bar \partial}_ b\) equation on weakly pseudoconvex CR manifolds of dimension 3. (English) Zbl 0671.35017 J. Am. Math. Soc. 1, No. 3, 587-646 (1988). Reviewer: H.P.Boas MSC: 35H10 32T99 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Miyajima, Kimio Subellipticity at higher degree of a boundary condition associated with construction of the versal family of strongly pseudo-convex domains. (English) Zbl 0627.32011 Publ. Res. Inst. Math. Sci. 23, No. 2, 337-344 (1987). Reviewer: T.Rassias MSC: 32T99 32G05 58J10 × Cite Format Result Cite Review PDF Full Text: DOI
Hecker, David; Sweeney, W. J. Subelliptic estimates for certain complexes of pseudodifferential operators. (English) Zbl 0631.35087 J. Differ. Equations 61, 250-267 (1986). Reviewer: L.Rodino MSC: 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Diaz, Ricardo L. Necessary conditions for subellipticity of \(\square _ b\) on pseudoconvex boundaries. (English) Zbl 0586.32025 Commun. Partial Differ. Equations 11, 1-61 (1986). Reviewer: M.Muro MSC: 32W05 35N15 32T99 58J10 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Lop-Hing Subellipticity of the \({\bar\partial}\)-Neumann problem on nonpseudoconvex domains. (English) Zbl 0594.35074 Trans. Am. Math. Soc. 291, 43-73 (1985). Reviewer: M.Derridj MSC: 35N15 32F10 × Cite Format Result Cite Review PDF Full Text: DOI
Trepeau, Jean-Marie Sur l’hypoellipticité analytique microlocale des opérateurs de type principal. (French) Zbl 0566.35027 Commun. Partial Differ. Equations 9, 1119-1146 (1984). Reviewer: P.Bolley MSC: 35H10 × Cite Format Result Cite Review PDF Full Text: DOI
D’Angelo, John Intersection theory and the \({\bar \partial}\)-Neumann problem. (English) Zbl 0534.32008 Complex analysis of several variables, Proc. Symp., Madison/Wis. 1982, Proc. Symp. Pure Math. 41, 51-58 (1984). MSC: 32V40 35N15 32W05 32T99 × Cite Format Result Cite Review PDF
Talhaoui, Abdallah Conditions suffisantes de sous-ellipticité pour \({\bar\partial}\) (Sufficient conditions of subellipticity for the \({\bar\partial})\). (French) Zbl 0554.35090 C. R. Acad. Sci., Paris, Sér. I 296, 427-429 (1983). Reviewer: G.Laville MSC: 35N15 32T99 32W05 × Cite Format Result Cite Review PDF
Morimoto, Yoshinori On hypoelliptic operators with multiple characteristics of odd order. (English) Zbl 0544.35024 Osaka J. Math. 20, 237-255 (1983). Reviewer: P.Godin MSC: 35H10 35S05 35A30 × Cite Format Result Cite Review PDF
Bröcker, Thorsten Zur \(L^2\)-Kohomologie beschränkter Gebiete. (German) Zbl 0517.32006 Bonn. Math. Schr. 145, 70 S. (1983). MSC: 32F10 32C35 × Cite Format Result Cite Review PDF
Metivier, Guy Analytic hypoellipticity for operators with multiple characteristics. (English) Zbl 0455.35040 Commun. Partial Differ. Equations 6, 1-90 (1981). MSC: 35H10 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Taira, K. Boundary value problems for the second order elliptic differential operators. (Japanese) Zbl 0565.35001 Sophia Kokyuroku in Mathematics, 6. Tokyo: Sophia University, Department of Mathematics. V, 101 p. (1980). Reviewer: A.Tsutsumi MSC: 35-02 35J25 35S05 35A05 35J20 45B05 × Cite Format Result Cite Review PDF
Sweeney, W. J. Subellipticity for Poincaré complexes with non-degenerate Levi form. (English) Zbl 0467.58023 J. Differ. Equations 36, 99-116 (1980). MSC: 58J10 58J40 × Cite Format Result Cite Review PDF Full Text: DOI
Maire, H. M. Sous-ellipticite et hypoellipticite maximale pour des systèmes différentiels. (French) Zbl 0444.35020 Journ. Équ. Dériv. Partielles, Saint-Jean-de-Monts 1980, No. 9, 2 p. (1980). MSC: 35H10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Hörmander, Lars Subelliptic operators. (English) Zbl 0446.35086 Seminar on singularities of solutions of linear partial differential equations, Inst. Adv. Study, Princeton 1977-78, Ann. Math. Stud. 91, 127-208 (1979). MSC: 35S05 47F05 47Gxx × Cite Format Result Cite Review PDF
Kohn, J. J. Subelliptic estimates. (English) Zbl 0416.35077 Harmonic analysis in Euclidean spaces, Part 2, Williamstown/ Massachusetts 1978, Proc. Symp. Pure Math., Vol. 35, 143-152 (1979). MSC: 35S05 35B45 65H10 35N15 × Cite Format Result Cite Review PDF
Kohn, J. J. Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions. (English) Zbl 0395.35069 Acta Math. 142, 79-122 (1979). MSC: 35N15 32T99 × Cite Format Result Cite Review PDF Full Text: DOI
Derridj, M. Conditions suffisantes de sous-ellipticite pour \(\overline\partial\) (d’apres J. J. Kohn). (French) Zbl 0413.35056 Sémin. Goulaouic-Schwartz 1977-1978, Équat. dériv. part. Anal. fonct., Exposé No. 13, 7 p. (1978). MSC: 35N15 35R20 35J99 65H10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML