Instantaneous blow-up of semilinear non-autonomous equations with fractional diffusion
We consider the Cauchy initial value problem $$\displaylines{ \frac{\partial }{\partial t}u(t,x) =k(t)\Delta _{\alpha}u(t,x)+h(t)f(u(t,x)), \cr u(0,x) = u_0(x), }$$ where $\Delta _{\alpha }$ is the fractional Laplacian for $0<\alpha \leq 2$. We prove that if the initial condition $u_0$ is n...
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| Format: | Article |
| Language: | English |
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Texas State University
2017-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/116/abstr.html |