Nonexistence of global solutions to the system of semilinear parabolic equations with biharmonic operator and singular potential
In the domain $Q_{R}'= \{ x:| x| >R\}\times( 0,+\infty)$ we consider the problem $$\displaylines{ \frac{\partial u_1}{\partial t}+\Delta^2 u_1-\frac{C_1}{|x| ^4}u_1 =| x| ^{\sigma _1}| u_2| ^{q_1}, \quad u_1| _{t=0}=u_{10}( x)\geq0, \cr \frac{\partial u_2}{\partial t}+\Delta^2 u_2-\fr...
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| Format: | Article |
| Language: | English |
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Texas State University
2018-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/09/abstr.html |