A criterion for discrete spectra of partial differential operators

John V. Baxley; R. O. Chapman

Czechoslovak Mathematical Journal (1992)

  • Volume: 42, Issue: 3, page 403-414
  • ISSN: 0011-4642

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Baxley, John V., and Chapman, R. O.. "A criterion for discrete spectra of partial differential operators." Czechoslovak Mathematical Journal 42.3 (1992): 403-414. <http://eudml.org/doc/31303>.

@article{Baxley1992,
author = {Baxley, John V., Chapman, R. O.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Friedrichs extension; compact inverse; discrete spectrum},
language = {eng},
number = {3},
pages = {403-414},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A criterion for discrete spectra of partial differential operators},
url = {http://eudml.org/doc/31303},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Baxley, John V.
AU - Chapman, R. O.
TI - A criterion for discrete spectra of partial differential operators
JO - Czechoslovak Mathematical Journal
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 3
SP - 403
EP - 414
LA - eng
KW - Friedrichs extension; compact inverse; discrete spectrum
UR - http://eudml.org/doc/31303
ER -

References

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  1. The Friedrichs extension of certain singular differential operators, Duke Math. J. 35 (1968), 455–462. (1968) Zbl0174.45701MR0226446
  2. 10.1016/0022-247X(72)90132-1, J. Math. Anal. Appl. 37 (1972), 244–254, 257–275. (1972) Zbl0237.47023MR0303354DOI10.1016/0022-247X(72)90132-1
  3. Some partial differential operators with discrete spectra, Spectral Theory of Differential Operators (Birmingham, AL, 1981), North-Holland Math. Studies 55, North-Holland, Amsterdam, 1981, pp. 53–59. (1981) Zbl0482.35062MR0640875
  4. Linear Operators, Part II, Wiley (Interscience), New York, 1963. (1963) MR1009163
  5. 10.1017/S0305004100045552, Proc. Camb. Phil. Soc. 67 (1970), 277–281. (1970) Zbl0191.44001MR0252740DOI10.1017/S0305004100045552
  6. Criteria for the discrete character of the spectra of ordinary differential operators, In Courant Anniversary Volume, Interscience, New York, 1948. (1948) MR0023415
  7. 10.1002/cpa.3160030407, Comm. Pure Appl. Math. 3 (1950), 439–134. (1950) Zbl0041.21004MR0042584DOI10.1002/cpa.3160030407
  8. Singular differential operators with spectra discrete and bounded below, Proc. Royal Soc. Edinburgh Sect. A 84 (1979), 117–134. (1979) MR0549875
  9. 10.1090/S0002-9947-1982-0654855-X, Trans. Amer. Math. soc. 271 (1982), 653–666. (1982) Zbl0507.35069MR0654855DOI10.1090/S0002-9947-1982-0654855-X
  10. The spectra of some singular elliptic operators of second order, Spectral Theory of Differential Operators (Birmingham, AL, 1981), North-Holland Math. Studies 55, North-Holland, Amsterdam, 1981, pp. 303–318. (1981) Zbl0486.35062MR0640900
  11. 10.1090/S0002-9939-1972-0291883-X, Proc. Amer. Math. Soc. 34 (1972), 195–200. (1972) MR0291883DOI10.1090/S0002-9939-1972-0291883-X

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