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- Bae, Hantaek
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Global well-posedness for nonlinear nonlocal cauchy problems arising in elasticity
- Author(s)
- Bae, Hantaek, Ulusoy, Suleyman
- Issued Date
- 2017-02
- Fulltext
- http://ejde.math.txstate.edu/
- Citation
- ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, v.2017, no.55, pp.1 - 7
- Abstract
- In this article, we prove global well-posedness for a family of one dimensional nonlinear nonlocal Cauchy problems arising in elasticity. We consider the equation (Formula present) where L is a differential operator, β is an integral operator, and δ = 0 or 1. (Here, the case δ = 1 represents the additional doubly dispersive effect.) We prove the global well-posedness of the equation in energy spaces.
- Publisher
- TEXAS STATE UNIV
- ISSN
- 1072-6691
- Keyword (Author)
- Nonlinear nonlocal wave equations, kernel function, global solution
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