JournalsrlmVol. 23, No. 2pp. 105–113

Phragmén–Lindelöf alternative of exponential type for the solutions of a fourth order dispersive equation

  • Ramon Quintanilla

    Universitat Politècnica de Catalunya, Barcelona, Spain
  • Giuseppe Saccomandi

    Università degli Studi di Perugia, Italy
Phragmén–Lindelöf alternative of exponential type for the solutions of a fourth order dispersive equation cover
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Abstract

In a recent paper (R. Quintanilla, G. Saccomandi. Quarterly Applied Mathematics, 44, (2006) 547–560) we investigated the spatial behavior of a linear equation of fourth order which models several mechanical situations where dispersive e¤ects are taken into account. We proved a polynomial decay estimate for the solutions of this equation. In the present note we improve this result and we show a Phragmén–Lindelöf alternative of exponential type.

Cite this article

Ramon Quintanilla, Giuseppe Saccomandi, Phragmén–Lindelöf alternative of exponential type for the solutions of a fourth order dispersive equation. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 23 (2012), no. 2, pp. 105–113

DOI 10.4171/RLM/620