By Milne W. E.
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Extra info for On Certain Asymptotic Expressions in the Theory of Linear Differential Equations (1916)(en)(3s)
D. zn. G¨ ottingen (Math. Phys. ) (1918), 37-44. 44  P. J. ”, Graduate Texts in Mathematics 107 Springer-Verlag, New York, 1993.  L. V. Ovsiannikov, “Group Analysis of Differential Equations”, Academic Press, New York, 1982.  K. R. Payne, Some remarks on the geometric structure underlying differential operators of mixed and degenerate types, in preparation.  Pohoˇzaev, S. I. On the eigenfunctions of the equation ∆u + λf (u) = 0. Soviet Math. Dokl. 6 (1965), 1408-1411.  Protter, M.
Mat. 9 (1945), 121-143.  K. O. Friedrichs, Symmetric positive linear differential equations, Comm. Pure Appl. Math. 11 (1958), 338-418.  P. ”, Chelsea Publishing Co. New York, 1986.  N. Garofalo and E. Lanconelli, Existence and nonexistence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. J. 41 (1992), 71-98.  S. Gellerstedt, Sur un probl`eme aux limites pour une ´equation lin´eaire aux d´eriv´ees partielles du second ordre de type mixtes, Dissertation, Uppsala University, Uppsala 1935.
Mixed signature metrics have received some attention in the context of quantum cosmology, beginning with the Hawking-Hartle no boundary hypothesis which if true implies that space-time evolved from a Riemannian past into a Lorentzian present, as well as models for tunnelling effects in quantum gravity (cf. Chapters 3 and 5 of ). 5 are strongly related to the conformal transformations with respect to the underlying geometric structure given above. 4). 21). 12) of the appendix. 5 will show that this part of the system is finite dimensional and spanned by the translations, dilations, and inversions above.
On Certain Asymptotic Expressions in the Theory of Linear Differential Equations (1916)(en)(3s) by Milne W. E.