Geodesic
A criterion for discrete spectra of partial differential operators
Czechoslovak Mathematical Journal, Tome 42 (1992) no. 3, pp. 403-414
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1992.128356
Classification : 35P05, 47F05 
@article{10_21136_CMJ_1992_128356,
     author = {Baxley, J. V. and Chapman, R. O.},
     title = {A criterion for discrete spectra of partial differential operators},
     journal = {Czechoslovak Mathematical Journal},
     pages = {403--414},
     year = {1992},
     volume = {42},
     number = {3},
     doi = {10.21136/CMJ.1992.128356},
     mrnumber = {1179303},
     zbl = {0784.35067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128356/}
}
TY  - JOUR
AU  - Baxley, J. V.
AU  - Chapman, R. O.
TI  - A criterion for discrete spectra of partial differential operators
JO  - Czechoslovak Mathematical Journal
PY  - 1992
SP  - 403
EP  - 414
VL  - 42
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128356/
DO  - 10.21136/CMJ.1992.128356
LA  - en
ID  - 10_21136_CMJ_1992_128356
ER  - 
%0 Journal Article
%A Baxley, J. V.
%A Chapman, R. O.
%T A criterion for discrete spectra of partial differential operators
%J Czechoslovak Mathematical Journal
%D 1992
%P 403-414
%V 42
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128356/
%R 10.21136/CMJ.1992.128356
%G en
%F 10_21136_CMJ_1992_128356
Baxley, J. V.; Chapman, R. O. A criterion for discrete spectra of partial differential operators. Czechoslovak Mathematical Journal, Tome 42 (1992) no. 3, pp. 403-414. doi: 10.21136/CMJ.1992.128356

[1] J. V. Baxley: The Friedrichs extension of certain singular differential operators. Duke Math. J. 35 (1968), 455–462. | MR | Zbl

[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. | DOI | MR | Zbl

[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. | MR | Zbl

[4] N. Dunford and J. T. Schwartz: Linear Operators, Part II. Wiley (Interscience), New York, 1963. | MR

[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. | DOI | MR | Zbl

[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

[7] K. O. Friedrichs: Criteria for discrete spectra. Comm. Pure Appl. Math. 3 (1950), 439–134. | DOI | MR | Zbl

[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

[9] R. T. Lewis: Singular elliptic operators of second order with purely discrete spectra. Trans. Amer. Math. soc. 271 (1982), 653–666. | DOI | MR | Zbl

[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. | MR | Zbl

[11] L. W. Rollins: Criteria for discrete spectrum of singular self-adjoint operators. Proc. Amer. Math. Soc. 34 (1972), 195–200. | DOI | MR

Cité par Sources :