Publication:
The well-posedness of the global solution for a damped euler-bernoulli equation

Issued Date

2010-12-10

Resource Type

Article

ISSN

13118080

Other identifier(s)

2-s2.0-78649773205

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

International Journal of Pure and Applied Mathematics. Vol.59, No.2 (2010), 203-212

Suggested Citation

Shaoyong Lai, Benchawan Wiwatanapataphee The well-posedness of the global solution for a damped euler-bernoulli equation. International Journal of Pure and Applied Mathematics. Vol.59, No.2 (2010), 203-212. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29312

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Title

The well-posedness of the global solution for a damped euler-bernoulli equation

Author(s)

Shaoyong Lai
 Benchawan Wiwatanapataphee

Other Contributor(s)

Southwest University of Finance and EcoNomics
 Mahidol University

Abstract

In this paper, we study the well-posedness of the global solution to the following damped Euler-Bernoulli equation utt+ auxxxx+ 2but+ cu = f(u), t≥0, x; ε [0, + ∞). For the case f(u) = u2, the existence and uniqueness of the global solution to an initial value problem of the equation are established in the space C([0,+∞),L2([0,+∞)))∩C1([0,+∞), H-1([0,+∞))). For the case where f(u) is a polynomial, we find that the well-posedness can be established in the Sobolev space C([0, +∞), Hs([0, +∞))) ∩ C1([0, +∞), Hs-1([0, +∞))) (s > 1/2). © 2010 Academic Publications.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/29312

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Scopus 2006-2010