Geodesic
The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation
Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 292-297

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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 $\ker (\lambda +\Delta )$. 
@article{MZM_2002_71_2_a11,
     author = {G. A. Sviridyuk and V. O. Kazak},
     title = {The {Phase} {Space} of an {Initial-Boundary} {Value} {Problem} for the {Hoff} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {292--297},
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     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a11/}
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G. A. Sviridyuk; V. O. Kazak. The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation. Matematičeskie zametki, Tome 71 (2002) no. 2, pp. 292-297. http://geodesic.mathdoc.fr/item/MZM_2002_71_2_a11/