A Cauchy problem in nonlinear heat conduction by De Lillo S., Lupo G., Sanchini G.

By De Lillo S., Lupo G., Sanchini G.

A Cauchy challenge at the semiline for a nonlinear diffusion equation is taken into account, with a boundary akin to a prescribed thermal conductivity on the foundation. the matter is mapped right into a relocating boundary challenge for the linear warmth equation with a Robin-type boundary . this sort of challenge is then diminished to a linear crucial Volterra equation of II variety which admits a distinct resolution.

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Nos. 225-254. 021 m. 023 m. 065 m. high. Dean III, No. , fig. 14. GALERio. ///i No. 25 From the similarity between Nos. 24 and 25 it is clear that the two inscriptions were cut at the same time. Dean published them as parts of a single inscription. If his assumption is correct, No. 25 must have stood at the ends of lines 1 and 2, for a comparison of the thickness of the revetment slabs makes other positions impossible. It will be noted that such a position would suit our proposed restoration of No.

High. Dean II, No. 13, 171, fig. 9A; R. Arch. X, 1919, p. 400, No. 5. P CANINIO *ALEXIADAE. PROCVRCAESA. AVG PROVINC ACHAIAE. GRANIA*QVINTA. MIAITO No. 65 Line 4: The stone has been cleaned since its first publication, and the name Grania is now clear. Line 5: The peculiarities of this line are to be explained by the assumption that the inscription was cut by an inexperienced workman, presumably a Greek. We see no reason for believing with Dean that the last two lines are later additions. The last three words DE SE MERITOshow curious errors.

297. 33 m. Broken at the bottom. 055m. 04m. high. Before the establishment of a permanent museum in Old Corinth, the stone was taken to New Corinth. Its location is now unknown. The photograph on which our readings are based is in the possession of the American School. LATIN INSCRIPTIONS 41 Dean II, No. 16, 173, fig. A. I, 1897, p. Arch. X, 1919, p. 400, No. 8; Graindor, Marbres et Textes Antiques, 86-88. VS (Dean), and the photograph shows that TIVS (Graindor) is impossible. We have conjecturally restored a second L, because the spacing before the L now visible on the photograph (partially preserved) seems to make any other letter impossible.

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