A theorem on the uniqueness of solutions in nonlinear heat conduction

Authors: Robert P. Herrmann and R. Ray Nachlinger
Journal: Quart. Appl. Math. 32 (1974), 329-332
MSC: Primary 35K05
DOI: https://doi.org/10.1090/qam/435592
MathSciNet review: 435592
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Jace W. Nunziato, On heat conduction in materials with memory, Quart. Appl. Math. 29 (1971), 187–204. MR 295683, DOI https://doi.org/10.1090/S0033-569X-1971-0295683-6
Jace W. Nunziato, A note on uniqueness in the linear theory of heat conduction with finite wave speeds, SIAM J. Appl. Math. 25 (1973), 1–4. MR 319468, DOI https://doi.org/10.1137/0125001
John M. Finn and Lewis T. Wheeler, Wave propagation aspects of the generalized theory of heat conduction, Z. Angew. Math. Phys. 23 (1972), 927–940 (English, with German summary). MR 334700, DOI https://doi.org/10.1007/BF01596220
R. Ray Nachlinger and Lewis Wheeler, A uniqueness theorem for rigid heat conductors with memory, Quart. Appl. Math. 31 (1973), 267–273. MR 436794, DOI https://doi.org/10.1090/S0033-569X-1973-0436794-6
G. C. Wake, Uniqueness theorem for a system of parabolic differential equations, J. Differential Equations 6 (1969), 36–39. MR 240461, DOI https://doi.org/10.1016/0022-0396%2869%2990115-6

O. D. Kellogg, Foundations of potential theory, New York, Dover (1953)