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On the essential self-adjointness of powers of Schrödinger-type operators. (English) Zbl 0374.35014


MSC:

35J15 Second-order elliptic equations
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
47B25 Linear symmetric and selfadjoint operators (unbounded)
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References:

[1] Evans, Proc. Conf. Ordinary and Partial Differential Equations, Dundee. Lecture Notes in Mathematics 564 (1976)
[2] DOI: 10.1007/BF00250679 · Zbl 0326.35018 · doi:10.1007/BF00250679
[3] DOI: 10.1016/0022-1236(73)90003-7 · Zbl 0263.35066 · doi:10.1016/0022-1236(73)90003-7
[4] Atkinson, Proc. Roy. Soc. Edinburgh Sect.A 73 pp 167– (1975) · Zbl 0344.34014 · doi:10.1017/S030821050001636X
[5] Reed, Fourier Analysis, selfadjointness (1975)
[6] DOI: 10.1112/jlms/s2-15.1.119 · Zbl 0356.34023 · doi:10.1112/jlms/s2-15.1.119
[7] DOI: 10.1016/0022-1236(73)90004-9 · Zbl 0266.35019 · doi:10.1016/0022-1236(73)90004-9
[8] DOI: 10.1007/BF02760233 · Zbl 0246.35025 · doi:10.1007/BF02760233
[9] DOI: 10.1007/BF00253334 · Zbl 0103.31801 · doi:10.1007/BF00253334
[10] Friedman, Partial Differential Equations (1969) · Zbl 0224.35002
[11] DOI: 10.1112/jlms/s2-15.2.271 · Zbl 0406.34037 · doi:10.1112/jlms/s2-15.2.271
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