Boundary-Value Problems for the Biharmonic Equation with a Linear Parameter
| dc.contributor.author | Yakubov, Yakov | |
| dc.date.accessioned | 2020-08-11T21:49:10Z | |
| dc.date.available | 2020-08-11T21:49:10Z | |
| dc.date.issued | 2002-06-18 | |
| dc.description.abstract | We consider two boundary-value problems for the equation Δ2 u(x, y) - λΔu(x, y) = ƒ(x, y) with a linear parameter on a domain consisting of an infinite strip. These problems are not elliptic boundary-value problems with a parameter and therefore they are non-standard. We show that they are uniquely solvable in the corresponding Sobolev spaces and prove that their generalized resolvent decreases as 1/|λ| at infinity in L2 (ℝ x (0,1)) and W1 2 (ℝ x (0,1)). | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yakubov, Y. (2002). Boundary-value problems for the biharmonic equation with a linear parameter. <i>Electronic Journal of Differential Equations, 2002</i>(58), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12360 | |
| dc.language.iso | en | |
| dc.publisher | Southwest 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Biharmonic equation | |
| dc.subject | Isomorphism | |
| dc.subject | Boundary-value problem | |
| dc.title | Boundary-Value Problems for the Biharmonic Equation with a Linear Parameter | en_US |
| dc.type | Article |