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On Carleman estimates for pseudo-differential operators. (English) Zbl 0242.35069


MSC:

35D10 Regularity of generalized solutions of PDE (MSC2000)
35S05 Pseudodifferential operators as generalizations of partial differential operators
35B45 A priori estimates in context of PDEs
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References:

[1] Duistermaat, J.J., Hörmander, L.: Fourier integral operators, II. Acta Mathematica128, 183-269 (1972). · Zbl 0232.47055
[2] Egorov, Yu.V.: Non-degenerate subelliptic pseudo-differential operators. Mat. Sbornik82 (124), 323-342 (1970).
[3] Hörmander, L.: Linear partial differential operators. Berlin-Göttingen-Heidelberg: Springer 1963. · Zbl 0108.09301
[4] Hörmander, L.: Pseudo-differential operators and non-elliptic boundary problems. Ann. of Math.83, 129-209 (1966). · Zbl 0132.07402
[5] Hörmander, L.: Fourier integral operators, I Acta Mathematica127, 79-183 (1971). · Zbl 0212.46601
[6] Hörmander L.: On the existence and regularity of solutions of linear pseudo-differential equations, l’Enseignement Mathématique. He Série17, 99-163 (1971).
[7] Melin, A.: Lower bounds for pseudo-differential operators. Arkiv för Matematik9, 117-140 (1971). · Zbl 0211.17102
[8] Nirenberg, L., Treves, F.: On local solvability of linear partial differential equations. Part II: Sufficient conditions. Communications on Pure and Applied Math.23, 459-510 (1970). · Zbl 0208.35902
[9] Treves, F.: A new method of proof of the subelliptic estimates. Communications on Pure and Applied Math.24, 71-115 (1971). · Zbl 0206.11401
[10] Unterberger, A.: Resolution d’équations aux dérivées partielles dans des espaces de distributions d’ordre de régularité variable. Annales de l’Institut Fourier21, 2, 85-128 (1971). · Zbl 0205.43104
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