Imbedding estimates involving new norms and applications
HTML articles powered by AMS MathViewer
- by Martin Schechter PDF
- Bull. Amer. Math. Soc. 11 (1984), 163-166
References
- 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
- 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
- Jöran Bergh and Jörgen Löfström, Interpolation spaces. An introduction, Grundlehren der Mathematischen Wissenschaften, No. 223, Springer-Verlag, Berlin-New York, 1976. MR 0482275, DOI 10.1007/978-3-642-66451-9
- Melvyn S. Berger and Martin Schechter, Embedding theorems and quasi-linear elliptic boundary value problems for unbounded domains, Trans. Amer. Math. Soc. 172 (1972), 261–278. MR 312241, DOI 10.1090/S0002-9947-1972-0312241-X
- Konrad Jörgens and Joachim Weidmann, Spectral properties of Hamiltonian operators, Lecture Notes in Mathematics, Vol. 313, Springer-Verlag, Berlin-New York, 1973. MR 0492941, DOI 10.1007/BFb0060821
- Ezzat S. Noussair and Charles A. Swanson, Existence theorems for generalized Klein-Gordon equations, Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 2, 333–336. MR 684902, DOI 10.1090/S0273-0979-1983-15108-X
- Martin Schechter, On the invariance of the essential spectrum of an arbitrary operator. II, Ricerche Mat. 16 (1967), 3–26. MR 230153
- Martin Schechter, Spectra of partial differential operators, 2nd ed., North-Holland Series in Applied Mathematics and Mechanics, vol. 14, North-Holland Publishing Co., Amsterdam, 1986. MR 869254
- Martin Schechter, Essential self-adjointness of the Schrödinger operator with magnetic vector potential, J. Functional Analysis 20 (1975), no. 2, 93–104. MR 0510055, DOI 10.1016/0022-1236(75)90044-0
- Barry Simon, Schrödinger semigroups, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 3, 447–526. MR 670130, DOI 10.1090/S0273-0979-1982-15041-8
- Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Mathematical Series, No. 32, Princeton University Press, Princeton, N.J., 1971. MR 0304972
- Friedrich Stummel, Singuläre elliptische Differential-operatoren in Hilbertschen Räumen, Math. Ann. 132 (1956), 150–176 (German). MR 87002, DOI 10.1007/BF01452327
- H. Triebel, Interpolation theory, function spaces, differential operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. MR 500580
Additional Information
- Journal: Bull. Amer. Math. Soc. 11 (1984), 163-166
- MSC (1980): Primary 47B38, 46E35; Secondary 26D10, 35J60, 45P05, 46E30, 47H17
- DOI: https://doi.org/10.1090/S0273-0979-1984-15251-0
- MathSciNet review: 741731