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Régularité analytique pour des opérateurs elliptiques singuliers en un point. (French) Zbl 0334.35021


MSC:

35H10 Hypoelliptic equations
35D10 Regularity of generalized solutions of PDE (MSC2000)
35B45 A priori estimates in context of PDEs
35J70 Degenerate elliptic equations
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References:

[1] Agmon, S.,Lectures on elliptic boundary problems, Van Nostrand Math. Studies2 (1965). · Zbl 0142.37401
[2] Baouendi, M. S.; Goulaouic, C., Approximation polynômiale de fonctionsxxC^∞ et analytiques, Ann. Inst. Fourier (Grenoble), 21, 149-173 (1971) · Zbl 0215.17503
[3] Baouendi, M. S.; Goulaouic, C., Approximation of analytic functions on compact sets and Bernstein’s inéquality, Trans. A.M.S., 189, 251-261 (1974) · Zbl 0296.41016 · doi:10.2307/1996858
[4] Baouendi, M. S.; Goulaouic, C.; Lipkin, L. J., On the operator Δr^2+μ(∂/∂r)r+λ, J. Diff. Equ., 15, 499-509 (1974) · Zbl 0293.35034 · doi:10.1016/0022-0396(74)90069-2
[5] Dunford, N., Schwartz, J. T.,Linear operators, Part II, New York, 1963. · Zbl 0128.34803
[6] Seeley, R. T., Complex powers of an elliptic operator, Proc. Symp. Pure Math. A.M.S., 10, 288-307 (1967) · Zbl 0159.15504
[7] Titchmarsh, E. C.,The theory of functions, Second edition, London 1939. · JFM 65.0302.01
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