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19.—Concavity and the Evolutionary Properties of a Class of General Materials*
Published online by Cambridge University Press: 14 February 2012
Extract
Concavity arguments have been used by Knops, Levine and Payne [1] to discuss evolutionary properties of weak solutions to an abstract non-linear differential equation in a Hilbert space. These authors demonstrate that provided the non-linearity is suitably restricted and for specified initial data, the norm of the solution becomes unbounded in a finite time. In other words, the solution possesses a finite escape time.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 3 , 1975 , pp. 239 - 243
- Copyright
- Copyright © Royal Society of Edinburgh 1975
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