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The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation
Authors:Sviridyuk  G. A.  Kazak  V. O.
Affiliation:(1) Chelyabinsk State University, Russia
Abstract:The Hoff equation 
$$(lambda + Delta )u_t = - alpha u - beta u^3 $$
describes the H-beam buckling dynamics. We show that the phase space of the Hoff equation is a simple 
$$C^infty $$
Banach manifold modeled on a subspace complementary to the kernel 
$${text{ker}}(lambda + Delta )$$
.
Keywords:Hoff equation  phase space  Banach manifold
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