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Convergence of the strongly damped nonlinear Klein-Gordon equation in ℝn with radial symmetry

Published online by Cambridge University Press:  14 November 2011

Joel D. Avrin
Joel D. Avrin
Affiliation:
University of North Carolina at Charlotte, Charlotte, North Carolina 28223, U.S.A.
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Synopsis

We consider the strongly-damped Klein–Gordon equation in ℝ3 in the case where the initial data possess radial symmetry. With the latter assumption we are able to extend the result of [2] which assumed a bounded spatial domain. Specifically, we construct a global weak solution v of theundamped equation for high powers p which can be approximated arbitrarily closely (for small α) by the global strong solutions of the damped equation found by Aviles and Sandefur [1].

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 169 - 174
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

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