Global well-posedness for nonlinear nonlocal Cauchy problems arising in elasticity
| dc.contributor.author | Bae, Hantaek | |
| dc.contributor.author | Ulusoy, Suleyman | |
| dc.date.accessioned | 2022-03-31T12:49:09Z | |
| dc.date.available | 2022-03-31T12:49:09Z | |
| dc.date.issued | 2017-02-22 | |
| dc.description.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 utt - δLuxx = (β ⁎ [(1 - δ)u + u2n+1])xx, 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bae, H., & Ulusoy, S. (2017). Global well-posedness for nonlinear nonlocal Cauchy problems arising in elasticity. <i>Electronic Journal of Differential Equations, 2017</i>(55), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15581 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear nonlocal wave equations | |
| dc.subject | Kernel function | |
| dc.subject | Global solution | |
| dc.title | Global well-posedness for nonlinear nonlocal Cauchy problems arising in elasticity | |
| dc.type | Article |