Geodesic
Strong Oscillation of Elliptic Equations in General Domains
Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 105-110

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Strong oscillation criteria will be obtained for the linear elliptic partial differential equation (1) in unbounded domains R of general type in n-dimensional Euclidean space En . It will be assumed throughout that B and each Aij are real-valued continuous functions in R, and that the matrix (Aij(x)) is symmetric and positive definite in R. 
Swanson, C. A. Strong Oscillation of Elliptic Equations in General Domains. Canadian mathematical bulletin, Tome 16 (1973) no. 1, pp. 105-110. doi: 10.4153/CMB-1973-020-0
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[1] 1. Courant, R., and Hilbert, D., Methods of mathematical physics I, Wiley, New York, 1953. Google Scholar

[2] 2. Glazman, I.M., On the negative part of the spectrum of one-dimensional and multi-dimensional differential operators on vector-functions, Dokl. Akad. Nauk SSSR. 119 (1958), 421–424. Google Scholar

[3] 3. Headley, V.B., and Swanson, C.A., Oscillation criteria for elliptic equations, Pacific J. Math. 27 (1968), 501–506. Google Scholar

[4] 4. Kreith, Kurt, Oscillation theorems for elliptic equations, Proc. Amer. Math. Soc. 15 (1964), 341–344. Google Scholar

[5] 5. Kreith, Kurt, and Travis, Curtis C., Oscillation criteria for self adjoint elliptic equations (to appear). Google Scholar

[6] 6. Swanson, C.A., An identity for elliptic equations with applications, Trans. Amer. Math. Soc. 134 (1968), 325–333. Google Scholar

[7] 7. Swanson, C.A., Comparison and oscillation theory of linear differential equations, Mathematics in Science and Engineering, Vol. 48, Academic Press, New York, 1968. Google Scholar

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