Regularity and Decay of Solutions to the Stark Evolution Equation
Regularity and Decay of Solutions to the Stark Evolution Equation
复制标题
Stark演化方程解的正则性和衰变性
DOI：
10.1006/jfan.1997.3211
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发表时间：
1998
影响因子：
1.7
通讯作者：
A. Devinatz
中科院分区：
文献类型：
--
作者：
M. Ben;A. Devinatz
研究了 Stark 方程 ut=i(−Δ−x1+V(x)) u,u(0, x)εL2(Rn) 的解的长期行为和规律性。结果表明，对于一类短程势 V(x)，|t|→∞ 时的局部平滑度增益和衰减接近于相应的薛定谔方程 ut=i(−Δ+V(x)) u。
Long-time behavior and regularity are studied for solutions of the Stark equationut=i(−Δ−x1+V(x)) u,u(0, x)∈L2(Rn). It is shown that for a class of short-range potentialsV(x) the gain of local smoothness and the decay as |t|→∞ are close to those of the corresponding Schrodinger equationut=i(−Δ+V(x)) u.