Abstract
In this brief note the stability and asymptotic stability properties of temperature fields 0 governed by quasilinear heat equations are established. Results of a similar nature have been established by Bellman [I] and Narasimhan [2] for temperature fields governed by semilinear heat equations. The author feels that Theorem 1.2 should be of particular interest since it establishes a generalized “maximum principle” when Neumann type boundary data are prescribed for times t > 0.
Published Version
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