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Shin, Su-Young; Kang, Jum-Ran

General decay for the degenerate equation with a memory condition at the boundary. (English) Zbl 1276.35036

Abstr. Appl. Anal. 2013, Article ID 682061, 8 p. (2013).
Summary: We consider a degenerate equation with a memory condition at the boundary. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases.

Cited in 4 Documents

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L76 Higher-order semilinear hyperbolic equations
35L35 Initial-boundary value problems for higher-order hyperbolic equations
35L80 Degenerate hyperbolic equations

Keywords:

exponential and polynomial decay
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\textit{S.-Y. Shin} and \textit{J.-R. Kang}, Abstr. Appl. Anal. 2013, Article ID 682061, 8 p. (2013; Zbl 1276.35036)
Full Text: DOI

References:

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