Bagirov, Shirmayil2021-12-172021-12-172018-01-06Bagirov, 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. 1-13.1072-6691https://hdl.handle.net/10877/15064In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalSystem of semilinear parabolic equationBiharmonic operatorGlobal solutionCritical exponentMethod of test functionsArticle