Essential spectra of elliptic partial differential equations
HTML articles powered by AMS MathViewer
- by Martin Schechter PDF
- Bull. Amer. Math. Soc. 73 (1967), 567-572
References
- Martin Schechter, Invariance of the essential spectrum, Bull. Amer. Math. Soc. 71 (1965), 365–367. MR 174979, DOI 10.1090/S0002-9904-1965-11296-4
- Martin Schechter, On the essential spectrum of an arbitrary operator. I, J. Math. Anal. Appl. 13 (1966), 205–215. MR 188798, DOI 10.1016/0022-247X(66)90085-0
- František Wolf, On the essential spectrum of partial differential boundary problems, Comm. Pure Appl. Math. 12 (1959), 211–228. MR 107750, DOI 10.1002/cpa.3160120202
- František Wolf, On the invariance of the essential spectrum under a change of boundary conditions of partial differential boundary operators, Nederl. Akad. Wetensch. Proc. Ser. A 62 = Indag. Math. 21 (1959), 142–147. MR 0107751, DOI 10.1016/S1385-7258(59)50016-5
- Felix E. Browder, On the spectral theory of elliptic differential operators. I, Math. Ann. 142 (1960/61), 22–130. MR 209909, DOI 10.1007/BF01343363
- M. Š. Birman, On the spectrum of singular boundary-value problems, Mat. Sb. (N.S.) 55 (97) (1961), 125–174 (Russian). MR 0142896
- P. A. Rejto, On the essential spectrum of the hydrogen energy and related operators, Pacific J. Math. 19 (1966), 109–140. MR 199574, DOI 10.2140/pjm.1966.19.109
- Tosio Kato, Fractional powers of dissipative operators, J. Math. Soc. Japan 13 (1961), 246–274. MR 138005, DOI 10.2969/jmsj/01330246
- Tosio Kato, Quadratic forms in Hilbert spaces and asymptotic perturbation series, University of California, Department of Mathematics, Berkeley, Calif., 1955. MR 0073958
- Erik Balslev, The essential spectrum of elliptic differential operators in $L^{p}(R_{n})$, Trans. Amer. Math. Soc. 116 (1965), 193–217. MR 190524, DOI 10.1090/S0002-9947-1965-0190524-0
- N. Aronszajn and K. T. Smith, Theory of Bessel potentials. I, Ann. Inst. Fourier (Grenoble) 11 (1961), 385–475 (English, with French summary). MR 143935, DOI 10.5802/aif.116
- A.-P. Calderón, Lebesgue spaces of differentiable functions and distributions, Proc. Sympos. Pure Math., Vol. IV, American Mathematical Society, Providence, R.I., 1961, pp. 33–49. MR 0143037
- Lars Hörmander, Linear partial differential operators, Springer-Verlag, Berlin-New York, 1976. MR 0404822
- P. D. Lax and A. N. Milgram, Parabolic equations, Contributions to the theory of partial differential equations, Annals of Mathematics Studies, no. 33, Princeton University Press, Princeton, N.J., 1954, pp. 167–190. MR 0067317 15. Erik Balslev, The essential spectrum of self-adjoint elleptic differential operators in L, Math. Scand. (to appear).
Additional Information
- Journal: Bull. Amer. Math. Soc. 73 (1967), 567-572
- DOI: https://doi.org/10.1090/S0002-9904-1967-11752-X
- MathSciNet review: 0212616