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Andersson, K. G.

Propagation of analyticity of solutions of partial differential equations with constant coefficients. (English) Zbl 0211.40502

Ark. Mat. 8, 277-302 (1971).
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Cited in 26 Documents

MSC:

35E20 General theory of PDEs and systems of PDEs with constant coefficients
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\textit{K. G. Andersson}, Ark. Mat. 8, 277--302 (1971; Zbl 0211.40502)
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References:

[1] Andersson, K. G., Analyticity of fundamental solutions, Ark. Mat.8, 73–81 (1970). · Zbl 0193.38103
[2] Atiyah, M. F., Bott, R. andGårding, L., Lacunas for hyperbolic differential operators with constant coefficients I, Acta Math.124, 109–189 (1970). · Zbl 0191.11203
[3] Ehrenpreis, L., Solutions of some problems of division IV. Invertible and elliptic operators, Amer. J. Math.82, 522–588 (1960). · Zbl 0098.08401
[4] Grušin, V. V., The extension of smoothness of solutions of differential equations of principal type, Soviet Math.4, 248–251 (1963).
[5] Hörmander, L., Linear partial differential operators. Springer. 1963. · Zbl 0108.09301
[6] – On the singularities of solutions of partial differential equations, Comm. Pure Appl. Math.23 (1970). · Zbl 0193.06603
[7] Mandelbrojt, S., Séries adhérentes. Régularisation des suites. Applications. Gauthier-Villars, 1952.
[8] Svensson, S. L., Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part, Ark. Math.8, 145–162 (1970). · Zbl 0203.40903
[9] Trèves, F., Linear partial differential equations with constant coefficients. Gordon & Breach, 1966. · Zbl 0164.40602
[10] Trèves, F. andZerner, M., Zones d’analyticité des solutions élémentaires, Bull. Soc. Math. Fr.95, 155–191 (1967).
[11] Zerner, M., Solutions singulières d’équations aux dérivées partielles, Bull. Soc. Math. Fr.91, 203–226 (1963). · Zbl 0196.39001
[12] Sato, M., Hyperfunctions and partial differential equations, Proc. Int. Congr. Math. Nice 1970. · Zbl 0208.35801
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