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Opérateurs pseudo-différentiels en dimension infinie. Étude de l’hypoellipticite et de la resolubilite dans des classes de fonctions hölderiennes et de distributions pour des opérateurs pseudo- différentiels elliptiques. (French) Zbl 0411.35092


MSC:

35S05 Pseudodifferential operators as generalizations of partial differential operators
65H10 Numerical computation of solutions to systems of equations
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References:

[1] Bleker, P.; Visik, M. I., Une classe d’opérateurs pseudo-différentiels d’une infinité de variables, Mat. Sb., 86, 128-128 (1971)
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[8] Lascar, B., Une C.N.S. d’ellipticité en dim. infinie, Comm. Partial Differential Equations, 2, 31-67 (1977) · Zbl 0377.58011 · doi:10.1080/03605307708820025
[9] B. Lascar,Propriétés locales d’espace de type Sobolev en dim. infinie, Comm. Partial Differential Equations (1976), 561-584. · Zbl 0358.46025
[10] Martchenko, A.; Visik, M. I., Boundary value problems of second order elliptic and parabolic operators on infinite dimensional manifolds with boundary, Math. Sb., 90, 331-371 (1973)
[11] E. Stein.Singular Integrals, Princeton University Press, 1970. · Zbl 0207.13501
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