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

R. Quintanilla | Zendy; Giuseppe Saccomandi | Zendy

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

Author(s) -

R. Quintanilla,

Giuseppe Saccomandi

Publication year - 2012

Publication title -

rendiconti lincei matematica e applicazioni

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.824

H-Index - 28

eISSN - 1720-0768

pISSN - 1120-6330

DOI - 10.4171/rlm/620

Subject(s) - mathematics , exponential function , order (exchange) , polynomial , type (biology) , exponential type , exponential decay , exponential polynomial , dispersive partial differential equation , mathematical analysis , differential equation , physics , finance , economics , ecology , nuclear physics , biology

— 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.

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