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Trèves, François

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Author ID: treves.francois Recent zbMATH articles by "Trèves, François"
Published as: Trèves, François; Treves, François; Treves, F.; Treves, J. F.; Trèves, F.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 176 Publications since 1956, including 17 Books
1 Contribution as Editor
1 Further Contribution
Biographic References: 2 Publications
all top 5

Serials

12 Communications on Pure and Applied Mathematics
7 American Journal of Mathematics
7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
5 Duke Mathematical Journal
5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
4 Annales de l’Institut Fourier
4 Inventiones Mathematicae
4 Transactions of the American Mathematical Society
4 Communications in Partial Differential Equations
4 Annals of Mathematics. Second Series
3 Bulletin de la Société Mathématique de France
3 Journal of Differential Equations
3 Journal of Differential Geometry
3 Journal of Functional Analysis
3 Notices of the American Mathematical Society
3 Bulletin of the American Mathematical Society
2 Journal d’Analyse Mathématique
2 Arkiv för Matematik
2 Reviews in Mathematical Physics
2 Acta Mathematica
2 Hokkaido Mathematical Journal
2 Proceedings of the American Mathematical Society
2 Grundlehren der Mathematischen Wissenschaften
1 American Mathematical Monthly
1 Russian Mathematical Surveys
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Indiana University Mathematics Journal
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Journal of the American Mathematical Society
1 The Journal of Geometric Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Selecta Mathematica. New Series
1 Mathematical Research Letters
1 Milan Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Annals of Mathematics Studies
1 Princeton Mathematical Series
1 Proceedings of Symposia in Pure Mathematics
1 Anais da Academia Brasileira de Ciências
1 Complex Analysis and its Synergies

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 2,647 times in 1,943 Documents Cited by Year
Topological vector spaces, distributions and kernels. Zbl 0171.10402
Trèves, François
571
1967
Introduction to pseudodifferential and Fourier integral operators. Vol. 1: Pseudodifferential operators. Vol. 2: Fourier integral operators. Zbl 0453.47027
Trèves, François
233
1980
Basic linear partial differential equations. Zbl 0305.35001
Trèves, François
153
1975
A property of the functions and distributions annihilated by a locally integrable system of complex vector fields. Zbl 0491.35036
Baouendi, Mohamed Salah; Trèves, François
98
1981
Hypo-analytic structures: local theory. Zbl 0787.35003
Treves, F.
97
1992
Solvability of a first order linear partial differential equation. Zbl 0117.06104
Nirenberg, Louis; Trèves, François
75
1963
Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the \(\overline\partial\)- Neumann problem. Zbl 0384.35055
Trèves, François
69
1978
On the analyticity of CR mappings. Zbl 0583.32021
Baouendi, Mohamed Salah; Jacobowitz, Howard; Trèves, François
61
1985
Linear partial differential equations with constant coefficients. Existence, approximation and regularity of solutions. Zbl 0164.40602
Trèves, François
53
1966
On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103
Nirenberg, Louis; Trèves, François
50
1970
CR structures with group action and extendability of CR functions. Zbl 0598.32019
Baouendi, Mohamed Salah; Rothschild, Linda Preiss; Trèves, François
48
1985
Microlocal hypo-analyticity and extension of CR functions. Zbl 0575.32019
Baouendi, Mohamed Salah; Chang, C. H.; Trèves, François
48
1983
Topological vector spaces, distributions and kernels. Unabridged republication of the 1967 original. Zbl 1111.46001
Trèves, François
45
2006
On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902
Nirenberg, Louis; Trèves, François
44
1970
Lectures on linear partial differential equations with constant coefficients. Zbl 0129.06905
Treves, J. F.
36
1961
Ovcyannikov theorem and hyperdifferential operators. Zbl 0205.39202
Trèves, François
33
1968
Study of a model in the theory of complexes of pseudodifferential operators. Zbl 0354.35067
Trèves, François
32
1976
Locally convex spaces and linear partial differential equations. Zbl 0152.32104
Trèves, François
32
1967
Non-realizable CR structures. Zbl 0487.32015
Jacobowitz, Howard; Trèves, François
32
1982
About the holomorphic extension of CR functions on real hypersurfaces in complex space. Zbl 0564.32011
Baouendi, Mohamed Salah; Trèves, François
32
1984
A new method of proof of the subelliptic estimates. Zbl 0206.11401
Trèves, François
31
1971
On a class of pseudodifferential operators with double characteristics. Zbl 0281.35083
Boutet de Monvel, Louis; Trèves, François
28
1974
An example in the solvability theory of linear PDE’s. Zbl 0308.35022
Gilioli, Antonio; Trèves, François
26
1974
Rélations de domination entre opérateurs différentieles. Zbl 0178.50201
Trèves, François
24
1959
An abstract nonlinear Cauchy-Kovalevska theorem. Zbl 0199.15803
Trèves, François
24
1970
Symplectic geometry and analytic hypo-ellipticity. Zbl 0938.35038
Treves, François
24
1999
A microlocal version of Bochner’s tube theorem. Zbl 0505.32013
Baouendi, Mohamed Salah; Trèves, François
23
1982
First-order linear PDE’s and uniqueness in the Cauchy problem. Zbl 0266.35009
Strauss, Monty J.; Trèves, François
22
1974
Hypo-analytic structures. Zbl 0565.35079
Trèves, François
22
1984
On the local solvability and the local integrability of systems of vector fields. Zbl 0534.35009
Trèves, François
21
1983
Analytic-hypoelliptic partial differential equations of principal type. Zbl 0222.35014
Trèves, François
20
1971
On the Gevrey hypo-ellipticity of sums of squares of vector fields. Zbl 1073.35067
Bove, Antonio; Treves, François
19
2004
A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019
Nirenberg, Louis; Treves, J. F.
18
1971
Propagation of holomorphic extendability of CR functions. Zbl 0494.32004
Hanges, Nicholas; Trèves, François
18
1983
Concatenations of second-order evolution equations applied to local solvability and hypoellipticity. Zbl 0266.35060
Trèves, François
17
1973
Linear partial differential equations. Zbl 0209.12001
Trèves, F.
17
1970
Approximation and representation of functions and distributions annihilated by a system of complex vector fields. Zbl 0515.58030
Trèves, François
17
1981
Hyperfunctions on hypo-analytic manifolds. Zbl 0817.32001
Cordaro, Paulo D.; Treves, François
16
1994
A necessary condition of local solvability for pseudo-differential equations with double characteristics. Zbl 0273.35058
Cardoso, Fernando; Trèves, François
14
1974
Homology and cohomology in hypo-analytic structures of the hypersurfaces type. Zbl 0724.32009
Cordaro, Paulo; Treves, François
14
1991
Pseudo-Fokker Planck equations and hyperdifferential operators. Zbl 0199.16401
Steinberg, Stanly; Trèves, François
14
1970
Fundamental solutions of linear partial differential equations with constant coefficients depending on parameters. Zbl 0121.32201
Trèves, François
14
1962
Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Zbl 0234.35019
Trèves, François
13
1971
Remarks about certain first-order linear PDE in two variables. Zbl 0519.35008
Trèves, François
13
1980
On the analyticity of solutions of first-order nonlinear PDE. Zbl 0758.35018
Hanges, Nicholas; Treves, François
11
1992
On the analyticity of solutions of sums of squares of vector fields. Zbl 1214.35012
Treves, François
11
2006
On a class of systems of pseudodifferential equations with double characteristics. Zbl 0286.35065
Boutet de Monvel, Louis; Trèves, François
11
1974
Discrete phenomena in uniqueness in the Cauchy problem. Zbl 0297.35048
Trèves, François
10
1974
Local solvability in a class of overdetermined systems of linear PDE. Zbl 0794.35002
Mendoza, G. A.; Treves, F.
10
1991
Opérateurs différentiels hypoelliptiques. Zbl 0197.36602
Trèves, François
10
1959
Differential polynomials and decay at infinity. Zbl 0091.11303
Trèves, François
10
1960
Un théorème sur les équations aux derivées partielles à coefficients constants dépendant de paramètres. Zbl 0113.30901
Trèves, François
10
1962
Remarks about certain first-order linear PDE in two variables. Zbl 0523.35012
Trèves, François
10
1980
A link between solvability of pseudodifferential equations and uniqueness in the Cauchy problem. Zbl 0274.35054
Trèves, François
9
1972
Homotopy formulas in the tangential Cauchy-Riemann complex. Zbl 0707.35105
Trèves, François
9
1990
Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients. Zbl 0418.35003
Baouendi, Mohamed Salah; Trèves, François; Zachmanoglou, E. C.
8
1979
A remark on the Poincaré lemma in analytic complexes with nondegenerate Levi form. Zbl 0535.32005
Trèves, François
8
1982
An algebraic characterization of the Korteweg-de Vries hierarchy. Zbl 1028.37040
Treves, François
7
2001
Uniqueness in certain first-order nonlinear complex Cauchy problems. Zbl 0609.35019
Baouendi, M. S.; Goulaouic, C.; Treves, F.
7
1985
Parametrices for a class of Schrödinger equations. Zbl 0832.35160
Treves, François
7
1995
Local exactness in a class of differential complexes. Zbl 0867.35005
Chanillo, Sagun; Treves, François
6
1997
On the lowest eigenvalue of the Hodge Laplacian. Zbl 0874.58087
Chanillo, Sagun; Treves, François
6
1997
A treasure trove of geometry and analysis: The hyperquadric. Zbl 0986.51038
Treves, François
6
2000
On the local solvability for top-degree forms in hypo-analytic structures. Zbl 0763.35022
Treves, François
6
1990
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields. Zbl 0834.35004
Cordaro, Paulo D.; Treves, François
6
1995
Problèmes de Cauchy et problèmes mixtes en théorie des distributions. Zbl 0198.43504
Trèves, François
6
1959
Local solvability in \(L^2\) of first order linear PDEs. Zbl 0236.35040
Trèves, François
6
1970
On a question of Louis Nirenberg. Zbl 1061.35005
Treves, François
6
2003
Aberrant CR structures. Zbl 0564.32010
Jacobowitz, Howard; Trèves, François
6
1983
Unique continuation in CR manifolds and in hypo-analytic structures. Zbl 0645.32010
Baouendi, M. S.; Treves, F.
5
1988
Uniform estimates for a class of evolution equations. Zbl 0813.35143
Ben-Artzi, Matania; Treves, François
5
1994
On the solvability of vector fields with real linear coefficients. Zbl 1194.35101
Treves, François
5
2009
Integral representation of solutions of first-order linear partial differential equations. I. Zbl 0317.35017
Trèves, François
5
1976
Hypoelliptic partial differential equations of principal type with analytic coefficients. Zbl 0192.44502
Trèves, François
5
1970
An invariant criterion of hypoellipticity. Zbl 0114.05201
Trèves, François
5
1961
A local constancy principle for the solutions of certain overdetermined systems of first-order linear partial differential equations. Zbl 0475.35027
Baouendi, Mohamed Salah; Trèves, François
5
1981
Basic linear partial differential equations. Reprint of the 1975 original. Zbl 1115.35006
Trèves, François
4
2006
On the theory of linear partial differential operators with analytic coefficients. Zbl 0187.03201
Trèves, François
4
1969
An abstract Cauchy-Kovalevska theorem in scales of Gevrey classes. Zbl 0226.35003
Duchateau, Paul; Trèves, François
4
1971
Approximate solutions to Cauchy problems. Zbl 0233.35013
Trèves, François
4
1972
On the solvability and hypoellipticity of complex vector fields. Zbl 1235.35004
Treves, François
4
2011
Solution élémentaire d’équations aux dérivées partielles dépendant d’un paramètre. Zbl 0071.09001
Trèves, François
4
1956
On the characterization of the nonlinear Schrödinger hierarchy. Zbl 1059.37058
Treves, François
3
2003
Solution of Cauchy problems modulo flat functions. Zbl 0337.35069
Trèves, François
3
1976
Differential equations in Hilbert spaces. Zbl 0192.23901
Trèves, François
3
1961
Topological vector spaces and distributions. Zbl 0228.46031
Treves, J. F.; de Figueiredo, D. G.
3
1968
On local solvability of linear partial differential equations. Zbl 0236.35038
Trèves, François
3
1970
On the local solvability of linear partial differential equations in two independent variables. Zbl 0236.35039
Trèves, François
3
1970
Équations aux dérivées partielles inhomogènes à coefficients constants dépendant de paramètres. Zbl 0147.08302
Trèves, François
3
1963
Nowhere solvable homogeneous partial differential equations. Zbl 0527.35015
Jacobowitz, Howard; Trèves, François
3
1983
Integral representation of solutions of linear partial differential equations. II. Zbl 0329.35011
Trèves, François
2
1976
Local homotopy formulas for the tangential Cauchy-Riemann equations. Zbl 0799.32016
Treves, F.
2
1992
Microlocal cohomology in hypo-analytic structures. Zbl 0664.58038
Treves, F.
2
1988
Noncommutativ KdV hierarchy. Zbl 1144.37029
Treves, François
2
2007
Winding numbers and the solvability condition (\(\psi\)). Zbl 0298.35054
Trèves, François
2
1975
Conditions suffisantes de resolubilite locale des équations aux dérivées partielles linéaires. Zbl 0181.10503
Nirenberg, Louis; Trèves, François
2
1969
Hyper-differential operators in complex space. Zbl 0219.58009
Trèves, François
2
1969
Solvability and nonsolvability of second-order evolution equations. Zbl 1050.35040
Colombini, Ferruccio; Pernazza, Ludovico; Treves, François
2
2003
Domination et problèmes aux limites de type mixte. Zbl 0079.33202
Trèves, François
2
1957
Domination et opérateurs paraboliques. Zbl 0080.30405
Trèves, François
2
1958
Erratum: Aberrant CR structures. Zbl 1277.32043
Jacobowitz, Howard; Treves, François
1
2013
On the solvability of planar complex linear vector fields. Zbl 1278.35005
Treves, François
1
2012
On the solvability and hypoellipticity of complex vector fields. Zbl 1235.35004
Treves, François
4
2011
On the solvability of vector fields with real linear coefficients. Zbl 1194.35101
Treves, François
5
2009
Errata. Noncommutative KdV hierarchy. Zbl 1148.37312
Treves, François
1
2008
Noncommutativ KdV hierarchy. Zbl 1144.37029
Treves, François
2
2007
Topological vector spaces, distributions and kernels. Unabridged republication of the 1967 original. Zbl 1111.46001
Trèves, François
45
2006
On the analyticity of solutions of sums of squares of vector fields. Zbl 1214.35012
Treves, François
11
2006
Basic linear partial differential equations. Reprint of the 1975 original. Zbl 1115.35006
Trèves, François
4
2006
On the Gevrey hypo-ellipticity of sums of squares of vector fields. Zbl 1073.35067
Bove, Antonio; Treves, François
19
2004
On a question of Louis Nirenberg. Zbl 1061.35005
Treves, François
6
2003
On the characterization of the nonlinear Schrödinger hierarchy. Zbl 1059.37058
Treves, François
3
2003
Solvability and nonsolvability of second-order evolution equations. Zbl 1050.35040
Colombini, Ferruccio; Pernazza, Ludovico; Treves, François
2
2003
Differential algebra and completely integrable systems. Zbl 1187.37100
Treves, François
1
2003
Laurent Schwartz (1915–2002). Zbl 1159.01350
Treves, François; Pisier, Gilles; Yor, Marc
1
2003
An algebraic characterization of the Korteweg-de Vries hierarchy. Zbl 1028.37040
Treves, François
7
2001
A treasure trove of geometry and analysis: The hyperquadric. Zbl 0986.51038
Treves, François
6
2000
Symplectic geometry and analytic hypo-ellipticity. Zbl 0938.35038
Treves, François
24
1999
Local exactness in a class of differential complexes. Zbl 0867.35005
Chanillo, Sagun; Treves, François
6
1997
On the lowest eigenvalue of the Hodge Laplacian. Zbl 0874.58087
Chanillo, Sagun; Treves, François
6
1997
Parametrices for a class of Schrödinger equations. Zbl 0832.35160
Treves, François
7
1995
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields. Zbl 0834.35004
Cordaro, Paulo D.; Treves, François
6
1995
Boundary values of cohomology classes as hyperfunctions. Zbl 0847.32007
Cordaro, Paulo D.; Gindikin, Simon; Treves, François
1
1995
Hyperfunctions on hypo-analytic manifolds. Zbl 0817.32001
Cordaro, Paulo D.; Treves, François
16
1994
Uniform estimates for a class of evolution equations. Zbl 0813.35143
Ben-Artzi, Matania; Treves, François
5
1994
Hypo-analytic structures: local theory. Zbl 0787.35003
Treves, F.
97
1992
On the analyticity of solutions of first-order nonlinear PDE. Zbl 0758.35018
Hanges, Nicholas; Treves, François
11
1992
Local homotopy formulas for the tangential Cauchy-Riemann equations. Zbl 0799.32016
Treves, F.
2
1992
Homology and cohomology in hypo-analytic structures of the hypersurfaces type. Zbl 0724.32009
Cordaro, Paulo; Treves, François
14
1991
Local solvability in a class of overdetermined systems of linear PDE. Zbl 0794.35002
Mendoza, G. A.; Treves, F.
10
1991
Homotopy formulas in the tangential Cauchy-Riemann complex. Zbl 0707.35105
Trèves, François
9
1990
On the local solvability for top-degree forms in hypo-analytic structures. Zbl 0763.35022
Treves, François
6
1990
Unique continuation in CR manifolds and in hypo-analytic structures. Zbl 0645.32010
Baouendi, M. S.; Treves, F.
5
1988
Microlocal cohomology in hypo-analytic structures. Zbl 0664.58038
Treves, F.
2
1988
On the analyticity of CR mappings. Zbl 0583.32021
Baouendi, Mohamed Salah; Jacobowitz, Howard; Trèves, François
61
1985
CR structures with group action and extendability of CR functions. Zbl 0598.32019
Baouendi, Mohamed Salah; Rothschild, Linda Preiss; Trèves, François
48
1985
Uniqueness in certain first-order nonlinear complex Cauchy problems. Zbl 0609.35019
Baouendi, M. S.; Goulaouic, C.; Treves, F.
7
1985
About the holomorphic extension of CR functions on real hypersurfaces in complex space. Zbl 0564.32011
Baouendi, Mohamed Salah; Trèves, François
32
1984
Hypo-analytic structures. Zbl 0565.35079
Trèves, François
22
1984
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. Zbl 0547.47031
Trèves, François
1
1984
Microlocal hypo-analyticity and extension of CR functions. Zbl 0575.32019
Baouendi, Mohamed Salah; Chang, C. H.; Trèves, François
48
1983
On the local solvability and the local integrability of systems of vector fields. Zbl 0534.35009
Trèves, François
21
1983
Propagation of holomorphic extendability of CR functions. Zbl 0494.32004
Hanges, Nicholas; Trèves, François
18
1983
Aberrant CR structures. Zbl 0564.32010
Jacobowitz, Howard; Trèves, François
6
1983
Nowhere solvable homogeneous partial differential equations. Zbl 0527.35015
Jacobowitz, Howard; Trèves, François
3
1983
Approximation of solutions of linear PDE with analytic coefficients. Zbl 0552.35009
Baouendi, Mohamed Salah; Trèves, François
2
1983
On the approximation of solutions of linear PDE with analytic coefficients. Zbl 0579.35002
Trèves, François
1
1983
Non-realizable CR structures. Zbl 0487.32015
Jacobowitz, Howard; Trèves, François
32
1982
A microlocal version of Bochner’s tube theorem. Zbl 0505.32013
Baouendi, Mohamed Salah; Trèves, François
23
1982
A remark on the Poincaré lemma in analytic complexes with nondegenerate Levi form. Zbl 0535.32005
Trèves, François
8
1982
Lectures on linear PDEs. Zbl 0531.35002
Trèves, François
1
1982
A property of the functions and distributions annihilated by a locally integrable system of complex vector fields. Zbl 0491.35036
Baouendi, Mohamed Salah; Trèves, François
98
1981
Approximation and representation of functions and distributions annihilated by a system of complex vector fields. Zbl 0515.58030
Trèves, François
17
1981
A local constancy principle for the solutions of certain overdetermined systems of first-order linear partial differential equations. Zbl 0475.35027
Baouendi, Mohamed Salah; Trèves, François
5
1981
Erratum to “Study of a model in the theory of complexes of pseudodifferential operators”. Zbl 0459.35100
Trèves, François
2
1981
Introduction to pseudodifferential and Fourier integral operators. Vol. 1: Pseudodifferential operators. Vol. 2: Fourier integral operators. Zbl 0453.47027
Trèves, François
233
1980
Remarks about certain first-order linear PDE in two variables. Zbl 0519.35008
Trèves, François
13
1980
Remarks about certain first-order linear PDE in two variables. Zbl 0523.35012
Trèves, François
10
1980
Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients. Zbl 0418.35003
Baouendi, Mohamed Salah; Trèves, François; Zachmanoglou, E. C.
8
1979
Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the \(\overline\partial\)- Neumann problem. Zbl 0384.35055
Trèves, François
69
1978
The Chauvenet papers. A collection of prize-winning expository papers in mathematics. Vols. I and II. Zbl 0384.01013
1
1978
Boundary value problems for elliptic equations. Zbl 0501.58001
Trèves, François
1
1978
Study of a model in the theory of complexes of pseudodifferential operators. Zbl 0354.35067
Trèves, François
32
1976
Integral representation of solutions of first-order linear partial differential equations. I. Zbl 0317.35017
Trèves, François
5
1976
Solution of Cauchy problems modulo flat functions. Zbl 0337.35069
Trèves, François
3
1976
Integral representation of solutions of linear partial differential equations. II. Zbl 0329.35011
Trèves, François
2
1976
Basic linear partial differential equations. Zbl 0305.35001
Trèves, François
153
1975
Winding numbers and the solvability condition (\(\psi\)). Zbl 0298.35054
Trèves, François
2
1975
On subelliptic pseudo-differential operators. Zbl 0305.35087
Cardoso, Fernando; Trèves, François
1
1975
Solution of Cauchy problems modulo flat functions. Zbl 0308.35083
Trèves, François
1
1975
Noyaux élémentaires d’équations aux dérivées partielles du premier ordre. Zbl 0311.35015
Trèves, François
1
1975
On a class of pseudodifferential operators with double characteristics. Zbl 0281.35083
Boutet de Monvel, Louis; Trèves, François
28
1974
An example in the solvability theory of linear PDE’s. Zbl 0308.35022
Gilioli, Antonio; Trèves, François
26
1974
First-order linear PDE’s and uniqueness in the Cauchy problem. Zbl 0266.35009
Strauss, Monty J.; Trèves, François
22
1974
A necessary condition of local solvability for pseudo-differential equations with double characteristics. Zbl 0273.35058
Cardoso, Fernando; Trèves, François
14
1974
On a class of systems of pseudodifferential equations with double characteristics. Zbl 0286.35065
Boutet de Monvel, Louis; Trèves, François
11
1974
Discrete phenomena in uniqueness in the Cauchy problem. Zbl 0297.35048
Trèves, François
10
1974
On the local solvability of linear partial differential equations. Zbl 0303.35071
Trèves, François
1
1974
On the local solubility of linear partial differential equations. Zbl 0311.35078
Trèves, François
1
1974
Concatenations of second-order evolution equations applied to local solvability and hypoellipticity. Zbl 0266.35060
Trèves, François
17
1973
A link between solvability of pseudodifferential equations and uniqueness in the Cauchy problem. Zbl 0274.35054
Trèves, François
9
1972
Approximate solutions to Cauchy problems. Zbl 0233.35013
Trèves, François
4
1972
A new method of proof of the subelliptic estimates. Zbl 0206.11401
Trèves, François
31
1971
Analytic-hypoelliptic partial differential equations of principal type. Zbl 0222.35014
Trèves, François
20
1971
A correction to: On local solvability of linear partial differential equations. II: Sufficient conditions. Zbl 0221.35019
Nirenberg, Louis; Treves, J. F.
18
1971
Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Zbl 0234.35019
Trèves, François
13
1971
An abstract Cauchy-Kovalevska theorem in scales of Gevrey classes. Zbl 0226.35003
Duchateau, Paul; Trèves, François
4
1971
Remarks on the solvability of linear equations of evolution. Zbl 0232.47019
Nirenberg, Louis; Treves, J. F.
1
1971
On local solvability of linear partial differential equations. I: Necessary conditions. Zbl 0191.39103
Nirenberg, Louis; Trèves, François
50
1970
On local solvability of linear partial differential equations. Part II: Sufficient conditions. Zbl 0208.35902
Nirenberg, Louis; Trèves, François
44
1970
An abstract nonlinear Cauchy-Kovalevska theorem. Zbl 0199.15803
Trèves, François
24
1970
Linear partial differential equations. Zbl 0209.12001
Trèves, F.
17
1970
Pseudo-Fokker Planck equations and hyperdifferential operators. Zbl 0199.16401
Steinberg, Stanly; Trèves, François
14
1970
Local solvability in \(L^2\) of first order linear PDEs. Zbl 0236.35040
Trèves, François
6
1970
Hypoelliptic partial differential equations of principal type with analytic coefficients. Zbl 0192.44502
Trèves, François
5
1970
On local solvability of linear partial differential equations. Zbl 0236.35038
Trèves, François
3
1970
On the local solvability of linear partial differential equations in two independent variables. Zbl 0236.35039
Trèves, François
3
1970
Applications of distributions to PDE theory. Zbl 0211.12703
Trèves, François
1
1970
On the theory of linear partial differential operators with analytic coefficients. Zbl 0187.03201
Trèves, François
4
1969
Conditions suffisantes de resolubilite locale des équations aux dérivées partielles linéaires. Zbl 0181.10503
Nirenberg, Louis; Trèves, François
2
1969
...and 28 more Documents
all top 5

Cited by 1,771 Authors

44 Trèves, François
29 Berhanu, Shiferaw
27 Bergamasco, Adalberto Panobianco
24 Hounie, J.
23 Baouendi, Mohammed Salah
23 Meziani, Abdelhamid
22 Cordaro, Paulo D.
21 Rothschild, Linda Preiss
19 Petronilho, Gerson
19 Tartakoff, David S.
18 Hounie, Jorge G.
17 Bove, Antonio
16 Himonas, A. Alexandrou
15 Dattori da Silva, Paulo L.
14 Derridj, Makhlouf
14 Zani, Sérgio Luís
13 Hoepfner, Gustavo
13 Mughetti, Marco
13 Vindas, Jasson
12 Hanges, Nicholas William
11 Hsiao, Chin-Yu
11 Nicola, Fabio
10 Estrada, Ricardo
10 Helffer, Bernard
10 Hill, C. Denson
10 Pilipović, Stevan
10 Quinto, Eric Todd
10 Rodino, Luigi
9 Baracco, Luca
9 Lerner, Nicolas
9 Nacinovich, Mauro
9 Schmalz, Gerd
9 Shaw, Mei-Chi
8 de Hoop, Maarten V.
8 Ebenfelt, Peter
8 Hörmander, Lars Valter
8 Lamel, Bernhard
8 Li, Xiaoshan
8 Uhlmann, Gunther Alberto
8 Wenston, Paul R.
8 Zaitsev, Dmitri
8 Zampieri, Giuseppe
7 Barostichi, Rafael F.
7 Bratti, Giuliano
7 Cardoso, Fernando
7 Ezhov, Vladimir Vladimirovich
7 Kannai, Yakar
7 Kirilov, Alexandre
7 Menikoff, A.
7 Parmeggiani, Alberto
7 Persson, Jan A.
7 Steinberg, Stanly L.
6 Albanese, Angela Anna
6 Bell, Steven R.
6 Boggess, Albert
6 Christ, Michael
6 Cordero, Elena
6 De Medeira, Cleber
6 Fageot, Julien
6 Forstnerič, Franc
6 Jørgensen, Palle E. T.
6 Mendoza, Gerardo A.
6 Mir, Nordine
6 Müller, Detlef
6 Ricci, Fulvio
6 Stefanov, Plamen D.
6 Vasilyev, Vladimir Borisovich
6 Wagner, Peter
5 Adwan, Ziad
5 Albano, Paolo
5 Antoniou, Ioannis E.
5 Betancor Perez, Jorge Juan
5 Carvalho dos Santos, L. A.
5 Cohoon, David K.
5 Colombini, Ferruccio
5 da Silva, Evandro Raimundo
5 Debrouwere, Andreas
5 Domański, Pawel Jan
5 Federico, Serena
5 Fonseca-Mora, Christian A.
5 Gonzalez, Rafael Borro
5 Huang, Rung-Tzung
5 Laurent-Thiébaut, Christine
5 Merker, Joël
5 Neeb, Karl-Hermann
5 Nguyễn Minh Trí
5 Oliaro, Alessandro
5 O’Regan, Donal
5 Popivanov, Petar Radoev
5 Rea, Claudio
5 Roberts, Gary B.
5 Shao, Guokuan
5 Sjöstrand, Johannes
5 Sogge, Christopher D.
5 Straube, Emil J.
5 Zachmanoglou, E. C.
5 Zugliani, Giuliano Angelo
4 Alpay, Daniel Aron
4 Andreotti, Aldo
4 Atanasova, Sanja
...and 1,671 more Authors
all top 5

Cited in 291 Serials

115 Journal of Mathematical Analysis and Applications
105 Transactions of the American Mathematical Society
88 Journal of Differential Equations
86 Journal of Functional Analysis
75 Communications in Partial Differential Equations
63 Proceedings of the American Mathematical Society
54 Annales de l’Institut Fourier
52 Duke Mathematical Journal
51 Mathematische Annalen
51 The Journal of Geometric Analysis
44 Annali di Matematica Pura ed Applicata. Serie Quarta
38 Advances in Mathematics
36 Mathematische Zeitschrift
25 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
24 Inventiones Mathematicae
22 Arkiv för Matematik
22 Journal of Pseudo-Differential Operators and Applications
21 Communications in Mathematical Physics
19 Mathematische Nachrichten
18 Rendiconti del Seminario Matematico della Università di Padova
18 The Journal of Fourier Analysis and Applications
17 Nonlinear Analysis. Theory, Methods & Applications
16 Journal d’Analyse Mathématique
15 Mathematical Methods in the Applied Sciences
15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
14 Communications on Pure and Applied Mathematics
14 Bulletin of the American Mathematical Society
13 Integral Equations and Operator Theory
13 Manuscripta Mathematica
12 Archive for Rational Mechanics and Analysis
12 Mathematical Notes
12 Bulletin de la Société Mathématique de France
12 Bulletin of the American Mathematical Society. New Series
11 Acta Mathematica
11 Proceedings of the Japan Academy
10 Applicable Analysis
10 Journal of Geometry and Physics
10 Tohoku Mathematical Journal. Second Series
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Stochastic Processes and their Applications
10 Journal of Mathematical Sciences (New York)
9 Journal of Mathematical Physics
9 Letters in Mathematical Physics
9 Memoirs of the American Mathematical Society
9 Proceedings of the Japan Academy. Series A
9 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
8 Inverse Problems
8 Israel Journal of Mathematics
8 Reports on Mathematical Physics
8 Wave Motion
8 Monatshefte für Mathematik
8 Nagoya Mathematical Journal
8 Journal of the American Mathematical Society
8 Indagationes Mathematicae. New Series
8 Bulletin des Sciences Mathématiques
7 Rocky Mountain Journal of Mathematics
6 Chaos, Solitons and Fractals
6 Compositio Mathematica
6 Journal of Approximation Theory
6 Michigan Mathematical Journal
6 Results in Mathematics
6 International Journal of Mathematics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Inverse Problems and Imaging
6 Complex Analysis and its Synergies
5 Mathematics of Computation
5 Reviews in Mathematical Physics
5 Siberian Mathematical Journal
5 Acta Applicandae Mathematicae
5 Annals of Global Analysis and Geometry
5 Journal of Theoretical Probability
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Discrete and Continuous Dynamical Systems
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Computers & Mathematics with Applications
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
4 Archiv der Mathematik
4 Boletim da Sociedade Brasileira de Matemática
4 Czechoslovak Mathematical Journal
4 Functional Analysis and its Applications
4 Journal für die Reine und Angewandte Mathematik
4 Journal of Soviet Mathematics
4 Zeitschrift für Analysis und ihre Anwendungen
4 Revista Matemática Iberoamericana
4 Mathematical and Computer Modelling
4 Differential Geometry and its Applications
4 Applied and Computational Harmonic Analysis
4 Annales Henri Poincaré
4 Differential Equations
4 Journal of the Institute of Mathematics of Jussieu
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Bulletin de la Société Mathématique de France. Supplément. Mémoires
4 Complex Variables and Elliptic Equations
3 Classical and Quantum Gravity
3 Applied Mathematics and Computation
3 Applied Mathematics and Optimization
...and 191 more Serials
all top 5

Cited in 59 Fields

960 Partial differential equations (35-XX)
359 Functional analysis (46-XX)
339 Several complex variables and analytic spaces (32-XX)
226 Operator theory (47-XX)
207 Global analysis, analysis on manifolds (58-XX)
116 Topological groups, Lie groups (22-XX)
108 Harmonic analysis on Euclidean spaces (42-XX)
97 Differential geometry (53-XX)
87 Numerical analysis (65-XX)
82 Probability theory and stochastic processes (60-XX)
82 Quantum theory (81-XX)
67 Abstract harmonic analysis (43-XX)
60 Integral transforms, operational calculus (44-XX)
41 Functions of a complex variable (30-XX)
40 Ordinary differential equations (34-XX)
36 Fluid mechanics (76-XX)
34 Dynamical systems and ergodic theory (37-XX)
34 Mechanics of deformable solids (74-XX)
28 Approximations and expansions (41-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
25 Systems theory; control (93-XX)
24 Real functions (26-XX)
24 Manifolds and cell complexes (57-XX)
23 Nonassociative rings and algebras (17-XX)
22 Statistical mechanics, structure of matter (82-XX)
21 Measure and integration (28-XX)
20 Algebraic geometry (14-XX)
20 Integral equations (45-XX)
20 Optics, electromagnetic theory (78-XX)
19 Potential theory (31-XX)
18 Number theory (11-XX)
17 Associative rings and algebras (16-XX)
16 Special functions (33-XX)
16 Relativity and gravitational theory (83-XX)
15 General topology (54-XX)
13 Biology and other natural sciences (92-XX)
11 Information and communication theory, circuits (94-XX)
10 Geophysics (86-XX)
9 \(K\)-theory (19-XX)
9 Mechanics of particles and systems (70-XX)
9 Operations research, mathematical programming (90-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Commutative algebra (13-XX)
7 Group theory and generalizations (20-XX)
7 Convex and discrete geometry (52-XX)
6 History and biography (01-XX)
6 Category theory; homological algebra (18-XX)
6 Algebraic topology (55-XX)
4 Mathematical logic and foundations (03-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Difference and functional equations (39-XX)
4 Sequences, series, summability (40-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
3 Statistics (62-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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