| Title:
|
A criterion for discrete spectra of partial differential operators (English) |
| Author:
|
Baxley, J. V. |
| Author:
|
Chapman, R. O. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
403-414 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35P05 |
| MSC:
|
47F05 |
| idZBL:
|
Zbl 0784.35067 |
| idMR:
|
MR1179303 |
| DOI:
|
10.21136/CMJ.1992.128356 |
| . |
| Date available:
|
2009-09-24T09:22:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128356 |
| . |
| Reference:
|
[1] J. V. Baxley: The Friedrichs extension of certain singular differential operators.Duke Math. J. 35 (1968), 455–462. Zbl 0174.45701, MR 0226446 |
| Reference:
|
[2] J. V. Baxley: Eigenvalues of singular differential operators by finite difference methods, I, II.J. Math. Anal. Appl. 37 (1972), 244–254, 257–275. Zbl 0237.47023, MR 0303354, 10.1016/0022-247X(72)90132-1 |
| Reference:
|
[3] J. V. Baxley: 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. Zbl 0482.35062, MR 0640875 |
| Reference:
|
[4] N. Dunford and J. T. Schwartz: Linear Operators, Part II.Wiley (Interscience), New York, 1963. MR 1009163 |
| Reference:
|
[5] M. S. P. Eastham: The least limit point of the spectrum associated with singular differential operators.Proc. Camb. Phil. Soc. 67 (1970), 277–281. Zbl 0191.44001, MR 0252740, 10.1017/S0305004100045552 |
| Reference:
|
[6] K. O. Fredrichs: Criteria for the discrete character of the spectra of ordinary differential operators, In Courant Anniversary Volume.Interscience, New York, 1948. MR 0023415 |
| Reference:
|
[7] K. O. Friedrichs: Criteria for discrete spectra.Comm. Pure Appl. Math. 3 (1950), 439–134. Zbl 0041.21004, MR 0042584, 10.1002/cpa.3160030407 |
| Reference:
|
[8] D. B. Hinton and R. T. Lewis: Singular differential operators with spectra discrete and bounded below.Proc. Royal Soc. Edinburgh Sect. A 84 (1979), 117–134. MR 0549875 |
| Reference:
|
[9] R. T. Lewis: Singular elliptic operators of second order with purely discrete spectra.Trans. Amer. Math. soc. 271 (1982), 653–666. Zbl 0507.35069, MR 0654855, 10.1090/S0002-9947-1982-0654855-X |
| Reference:
|
[10] R. T. Lewis: 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. Zbl 0486.35062, MR 0640900 |
| Reference:
|
[11] L. W. Rollins: Criteria for discrete spectrum of singular self-adjoint operators.Proc. Amer. Math. Soc. 34 (1972), 195–200. MR 0291883, 10.1090/S0002-9939-1972-0291883-X |
| . |
