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Well‐posedness and Asymptotic Behaviour of a Non‐dissipative Beam Equation with a Quotient Space Method by G. O'Dowd is a Mathematics article available to read on EtoBox.
What is Well‐posedness and Asymptotic Behaviour of a Non‐dissipative Beam Equation with a Quotient Space Method about?
## Abstract A beam equation model is studied, for which no suitable dissipative norm can be associated but only a semi‐norm, vanishing on some subspace. Considering a quotient by that subspace creates dissipativity which guarantees well posedness of this problem. Asymptotic behaviour is also obtained by using the quotient. The linear problem, involving high‐order multiplier is studied and then the non‐linear problem, thanks to the artificial problem method. Copyright © 2003 John Wiley & Sons, Ltd.
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It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- G. O'Dowd
- Publisher
- John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0170-4214)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)