@incollection{JEDP_1977____88_0, author = {Helffer, Bernard}, title = {Quelques exemples d'op\'erateurs pseudodiff\'erentiels localement r\'esolubles}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, pages = {88--116}, publisher = {Ecole polytechnique}, year = {1977}, mrnumber = {81g:58035}, zbl = {0388.47031}, language = {fr}, url = {http://www.numdam.org/item/JEDP_1977____88_0/} }
Helffer, Bernard. Quelques exemples d'opérateurs pseudodifférentiels localement résolubles. Journées équations aux dérivées partielles (1977), pp. 88-116. http://www.numdam.org/item/JEDP_1977____88_0/
[1] Characterization of pseudodifferential operators and applications (à paraître). | Zbl
:[2] Sur une classe d'opérateurs elliptiques et dégénérés à plusieurs variables. Bulletin Soc. Math. France, Mémoire 43 (1973), p 55-140. | Numdam | MR | Zbl
, :[3] Parametrixes d'opérateurs pseudodifférentiels à caractéristiques multiples. Astérisque 34-35 (1976), p 93-121. | Numdam | MR | Zbl
, , :[4] Fourier integral operators II. Acta Math. 128 (1972), p 183-269. | MR | Zbl
, :[5] Propagation of singularities for interior mixed hyperbolic problem. Sem. Goulaouic - Schwartz, exposé n° 12 (1976-1977). | Numdam | Zbl
:[6] Propagation des singularités pour des opérateurs de type principal, localement résolubles, à coefficients analytiques, en dimension 2. (à paraître). | Numdam | Zbl
:[7] On a certain class of Fuchsian Partial differential equations. (à paraître). | Zbl
, :[8] Parametrices and local solvability for a class of singular hyperbolic operators. P.H.D Purdue University. | Zbl
:[9] Addition de variables et application à la régularité. (à paraître). Annales Institut Fourier. | Numdam | Zbl
:[10] Fourier Integral operators I. Acta Math. 127 (1971), p 79-183. | MR | Zbl
:[11] On the existence and the regularity of solutions of linear pseudodifferential equations. l'Ens. Math. 17 (1971), p 99-163. | Zbl
:[12] A class of pseudodifferential operators with double characteristics. Math. Annalen. 217 n° 2, (1975). | MR | Zbl
:[13] An unsolvable hypoelliptic operator. Israël Journal of Math. 9, (1971), p 306-315. | MR | Zbl
:[14] Asymptotic solutions of equations with complex characteristics. Mat. Sbornik Tom 95 (137), (1974), n° 2 Math.USSR - Sbornik Vol. 24, (1974) n° 2. | MR | Zbl
:[15] Parametrix for equations with degenerate symbol. Dok. Akad. Nauk.SSSR. Tom 229, (1976) n° 4 ; Sov. Math. Dokl. Vol. 17, (1976) n° 4. | MR | Zbl
:[16] Lower bounds for pseudo-differential operators. Ark. Mat. 9, (1971), p 117-140. | MR | Zbl
:[17] Fourier Integral operators with complex phase functions. Springer lecture Notes 459, p 255-282. | Zbl
, :[18] Fourier Integral operators with complex phase functions and parametrix for an interior boundary value problem. Comm. in P.D.E., (1976). | Zbl
, :[19] Sur la distribution des valeurs propres d'opérateurs hypoelliptiques. (congrès de St-Jean-de-Monts 1977).
, :[20] On local solvability of linear partial differential equations. Part II Sufficient conditions. Comm. Pure Appl. Math. 23, (1970), p 459-510. | MR | Zbl
, :[21] Decay of solutions to Non-dissipative Hyperbolic Systems on Compact Manifolds. Comm Pure Appl. Mathematics Vol 28, p 501-523, (1975). | MR | Zbl
, :[22] Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Comm. Pure Appl. Math. 24, (1971), p 631-670. | MR | Zbl
:[23] A new method of proof of the subelliptic estimates. Comm. Pure Appl. Math. 24, (1971), p 71-115. | MR | Zbl
: