On the time periodic free boundary associated to some nonlinear parabolic equations.
Badii, M., Díaz, J.I. (2010)
Boundary Value Problems [electronic only]
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Displaying similar documents to “Existence and uniqueness of periodic solutions for a nonlinear reaction-diffusion problem.”
On the time periodic free boundary associated to some nonlinear parabolic equations.
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For a nonlinear hyperbolic equation defined in a thin domain we prove the existence of a periodic solution with respect to time both in the non-autonomous and autonomous cases. The methods employed are a combination of those developed by J. K. Hale and G. Raugel and the theory of the topological degree.