| Abstract: |
| This report is devoted to the nonexistence of global
weak solutions to the inhomogeneous semilinear heat equations with forcing terms
on exterior domains. We investigate the critical behavior of solutions to the semilinear biharmonic heat equation ($|u|^p$ and $I_{0+}^\gamma\left(|u|^p\right)$) with forcing term $f(x)$. By employing a method of test function, we derive blow-up results for the critical case in the sense of Fujita. |
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