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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Type II blowup solutions to the 5D semilinear heat equation with double power nonlinearity
双幂非线性 5D 双线性热方程 II型爆破解
2023/5/16
We will discuss the existence of blowup solutions to $u_t=\Delta u+|u|^\frac{4}{n-2}u-|u|^{q-1}u$ with $0rac{n+2}{n-2}$. We show that there are three kinds of blowup solutions in this equation. I... 
Global Approximately Controllability and Finite Dimensional Exact Controllability of Semilinear Heat Equation in R~N
semilinear heat equation controllability
2007/12/10
We prove the approxomate controllability and finite dimensional exact controllability of semilinear heat equation in R~N with the same control by introducing the weighted Soblev spaces.