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Polar sets and removable singularities of partial differential equations. (English) Zbl 0158.11004


MSC:

35A21 Singularity in context of PDEs
35Kxx Parabolic equations and parabolic systems
35Jxx Elliptic equations and elliptic systems
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[1] Agmon, S., Douglis, A., andNirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations.Comm. Pure Appl. Math. 12, No. 4, pp. 623–727 (1959). · Zbl 0093.10401 · doi:10.1002/cpa.3160120405
[2] Aronson, D. G., Removable singularities for linear parabolic equations.Archive Rat. Mech. Anal. 17, No. 1, pp. 79–84 (1964). · Zbl 0128.09402 · doi:10.1007/BF00283868
[3] Bochner, S., andMartin, W. T.,Several Complex Variables, Princeton, 1948. · Zbl 0041.05205
[4] Carleson, L.,Selected Problems on Exceptional Sets (Mimeographed) Uppsala, 1961.
[5] Grusin, V. V., A Problem in the entire space for a certain class of partial differential equations.Dokl. Akad. Nauk SSSR 146, pp. 1251–1254 (1962).
[6] Hörmander, L., andLions, J. L., Sur la complétion par rapport à une integrate de Dirichlet.Math. Scand. 4, pp. 259–270 (1956). · Zbl 0078.28003
[7] Jones Jr., B. F., Singular integrals and parabolic equations.Bull. A.M.S. 69, pp. 501–503 (1963). · Zbl 0117.06602 · doi:10.1090/S0002-9904-1963-10977-5
[8] Lions, J.-L., Une construction d’espaces d’interpolation.C.R. Acad. Sc. 251, pp. 1853–1855 (1961). · Zbl 0118.10702
[9] Pini, B., Sui punti singolari delle soluzioni delle equazioni paraboliche lineari.Ann. dell’ Univ. di Ferrara Sezione VII-Scienze Mat. 2, pp. 2–12 (1953).
[10] Serrin, J., Removable singularities of solutions of elliptic equations.Arch. Rat. Mech. Anal. 17, No. 1, pp. 67–78 (1964). · Zbl 0135.15601 · doi:10.1007/BF00283867
[11] Serrin, J., Local behavior of solutions of quasi-linear equations.Acta Math. 111, pp. 247–302 (1964). · Zbl 0128.09101 · doi:10.1007/BF02391014
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