Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity
| dc.contributor.author | Cao, Yang | |
| dc.contributor.author | Liu, Conghui | |
| dc.date.accessioned | 2022-02-11T15:25:23Z | |
| dc.date.available | 2022-02-11T15:25:23Z | |
| dc.date.issued | 2018-05-14 | |
| dc.description.abstract | We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. Constructing a family of potential wells and using the logarithmic Sobolev inequality, we establish the existence of global weak solutions. we consider two cases: global boundedness and blowing-up at ∞. Moreover, we discuss the asymptotic behavior of solutions and give some decay estimates and growth estimates. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Cao, Y., & Liu, C. (2018). Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. <i>Electronic Journal of Differential Equations, 2018</i>(116), pp. 1-19. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15309 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Pseudo-parabolic | |
| dc.subject | p-Laplacian | |
| dc.subject | Logarithmic nonlinearity | |
| dc.subject | Long time behavior | |
| dc.title | Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity | |
| dc.type | Article |