 96155 R.M. Pyke, I.M.Sigal
 Nonlinear Wave Equations: Constraints on Periods and
Exponential Bounds for Periodic Solutions
(126K, LaTeX)
Apr 26, 96

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Abstract. We show there is an upper bound to the allowed frequencies of time
periodic solutions of a class of nonlinear wave equations: if phi
is a 2pi/omega periodic solution then (omega)^2 is less than or
equal to f'(0) where f is the nonlinearity. We also prove that
int_{0}^{2pi/omega}int_{RRn} exp^{2ax}(phi)^2 dxdt
is finite for all a^2 less than f'(0)  [sqrt{f'(0)/omega^2}]
where [c] denotes the integer part of c.
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