Asymptotic behavior of blowup solutions for Henon type parabolic equations with exponential nonlinearity
| dc.contributor.author | Chang, Caihong | |
| dc.contributor.author | Zhang, Zhengce | |
| dc.date.accessioned | 2023-04-18T14:21:37Z | |
| dc.date.available | 2023-04-18T14:21:37Z | |
| dc.date.issued | 2022-06-28 | |
| dc.description.abstract | This article concerns the blow up behavior for the Henon type parabolic equation with exponential nonlinearity, ut = Δu + |x|σ eu in BR x ℝ+, where σ ≥ 0 and BR = {x ∈ ℝN : |x| < R}. We consider all cases in which blowup of solutions occurs, i.e. N ≥ 10 + 4σ. Grow up rates are established by a certain matching of different asymptotic behaviors in the inner region (near the singularity) and the outer region (close to the boundary). For the cases N > 10 + 4σ and N = 10 + 4σ, the asymptotic expansions of stationary solutions have different forms, so two cases are discussed separately. Moreover, different inner region widths in two cases are also obtained. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chang, C., & Zhang, Z. (2022). Asymptotic behavior of blowup solutions for Henon type parabolic equations with exponential nonlinearity. <i>Electronic Journal of Differential Equations, 2022</i>(42), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16601 | |
| 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, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Matched expansion | |
| dc.subject | Weighted term | |
| dc.subject | Stabilization | |
| dc.subject | Grow up rate | |
| dc.subject | Degeneracy | |
| dc.title | Asymptotic behavior of blowup solutions for Henon type parabolic equations with exponential nonlinearity | |
| dc.type | Article |