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Global existence of solutions for semilinear damped wave equations in R with noncompactly supported initial data

✍ Scribed by Ryo Ikehata; Kensuke Tanizawa

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
237 KB
Volume
61
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of Kirchho! type in the whole space: , and '0, with initial data u(x, 0)"u (x) and u R (x, 0)"u (x).

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✍ David Finch; Rakesh πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 169 KB

## Abstract Suppose __u__ is the solution of the initial value problem Suppose __n__ β‰₯ 1 is odd, __f__ and __g__ are supported in a ball __B__ with boundary __S__, and one of __f__ or __g__ is zero. We derive identities relating the norm of __f__ or __g__ to the norm of the trace of __u__ on __S_