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- W2061150003 abstract "The existence of travelling wave solutions for the heat equation ∂t u –Δu = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (∂u /∂n) = f (u) is investigated. We show existence of nontrivial solutions for a large class of nonlinearities f. Additionally, the asymptotic behavior at ∞ is studied and regularity properties are established. We use a variational approach in exponentially weighted Sobolev spaces. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2061150003 date "2008-02-01" @default.
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- W2061150003 title "Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition" @default.
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- W2061150003 doi "https://doi.org/10.1002/mana.200710599" @default.
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