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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the L2 rate of convergence in the limit from the Hartree to the Vlasov–Poisson Equation
哈特里到弗拉索夫 泊松方程 极限 L2收敛率
2023/4/13
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
A sharp bound on the L2 norm of the solution of a random elliptic difference equation
sharp bound L2 norm random elliptic difference equation
2015/7/14
We consider a stationary solution of the Poisson equation (λ W22; Lω)φλ(x; ω) = W22;∂∗b(x; ω), where λ > 0 and Lω is a random, discrete, elliptic operator given by Lωu(x) := ∂&...
非齐次非线性Schrodinger方程爆破解的L2-集中率
非齐次Schrodinger方程 爆破解 爆破率 L2-集中率
2011/10/15
本文研究临界幂非线性项的非齐次Schrodinger方程的爆破解.利用对应基态变分特征,我们得到爆破解的爆破速率以及爆破解的L2-集中率。