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Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone. (English) Zbl 0396.35038


MSC:

35J40 Boundary value problems for higher-order elliptic equations
35B40 Asymptotic behavior of solutions to PDEs

Citations:

Zbl 0351.35010
Full Text: DOI

References:

[1] S. Agmon and L. Nirenberg, ”Properties of solutions of ordinary differential equations in Banach space,” Comm. Pure Appl. Math.,16, 121–239 (1963). · Zbl 0117.10001 · doi:10.1002/cpa.3160160204
[2] V. A. Kondrat’ev, ”Boundary-value problems for elliptic equations in domains with conical or angular points,” Tr. Mosk. Mat. Ova,16, 209–292 (1967).
[3] V. G. Maz’ya and B. A. Plamenevskii, ”On the coefficients in the asymptotics of the solutions of elliptic boundary-value problems near conical points,” Dokl. Akad. Nauk SSSR,219, 286–290 (1974).
[4] J. L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications, Springer-Verlag (1972).
[5] S. G. Krein and V. P. Trofimov, ”On holomorphic operator functions of several variables,” Funkts. Anal. Prilozhen.,3, No. 4, 85–86 (1969).
[6] V. P. Trofimov, ”On the root subspaces of operators depending analytically on a parameter,” Mat. Issled.,3, No. 3, 117–125 (1968). · Zbl 0234.47010
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