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Asymptotic Stability for Nonlinear Parabolic Systems

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Energy Methods in Continuum Mechanics

Abstract

The problem of asymptotic stability for second order ordinary differential equations is well-known in the literature. Recently, various extensions of this work have been given for the case of second order hyperbolic systems (see [1–5]). On the other hand, the situation for parabolic systems has received much less discussion, so that a study of this problem seems worthwhile.

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Bibliography

  1. A. Haraux, Recent results on semilinear hyperbolic problems in bounded domains, in Partial Differential Equations, Lecture Notes in Math., vol. 1324, 118–126, Springer-Verlag, Berlin - New York, 1988.

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  5. P. Pucci & J. Serrin, Asymptotic stability for non-autonomous dissipative wave systems, submitted for publication, 37 pages.

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© 1996 Kluwer Academic Publishers

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Pucci, P., Serrin, J. (1996). Asymptotic Stability for Nonlinear Parabolic Systems. In: Antontsev, S.N., Díaz, J.I., Shmarev, S.I. (eds) Energy Methods in Continuum Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0337-1_7

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  • DOI: https://doi.org/10.1007/978-94-009-0337-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6638-9

  • Online ISBN: 978-94-009-0337-1

  • eBook Packages: Springer Book Archive

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