Nonexistence of global solutions to the system of semilinear parabolic equations with biharmonic operator and singular potential
| dc.contributor.author | Bagirov, Shirmayil | |
| dc.date.accessioned | 2021-12-17T18:36:00Z | |
| dc.date.available | 2021-12-17T18:36:00Z | |
| dc.date.issued | 2018-01-06 | |
| dc.description.abstract | In the domain Q′R = {x : |x| > R} x (0, +∞) we consider the problem ∂u1/∂t + ∆2u1 - C1/|x|4 u1 = |x|σ1|u2|q1, u1|t=0 = u1 0(x) ≥ 0, ∂u2/∂t + ∆2u2 - C2/|x|4 u2 = |x|σ2|u1|q2, u2|t=0 = u2 0(x) ≥ 0, ∫∞0 ∫∂BR ui ds dt ≥ 0, ∫∞0 ∫∂BR ∆ui ds dt ≤ 0, where σi ∈ ℝ, qi > 1, 0 ≤ Ci < (n(n-4)/4)2, i = 1, 2. Sufficient condition for the nonexistence of global solutions is obtained. The proof is based on the method of test functions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 13 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bagirov, S. (2018). Nonexistence of global solutions to the system of semilinear parabolic equations with biharmonic operator and singular potential. <i>Electronic Journal of Differential Equations, 2018</i>(09), pp. 1-13. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15064 | |
| 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 | System of semilinear parabolic equation | |
| dc.subject | Biharmonic operator | |
| dc.subject | Global solution | |
| dc.subject | Critical exponent | |
| dc.subject | Method of test functions | |
| dc.title | Nonexistence of global solutions to the system of semilinear parabolic equations with biharmonic operator and singular potential | en_US |
| dc.type | Article |