【摘要】：利用極大算子線性化和對偶的方法,當(dāng)曲線和象征分別滿足適當(dāng)?shù)脑鲩L條件時(shí),在維數(shù)n=2和n≥3的情形下,分別給出與一類廣義色散方程{i沆_tu+φ(-Δ~(1/2))u=0,(x,t)∈R~n×R,u(x,0)=f(x)的解相關(guān)的沿曲線極大算子的估計(jì),其中φ(-Δ~(1/2))是具有象征為φ(|ξ|)的擬微分算子.
[Abstract]:By using the method of linearization and duality of maximal operators, when the curves and symbols satisfy the appropriate growth conditions respectively, in the case of dimension n2 and n 鈮，

本文編號：2401358