A priori estimates for higher order hyperbolic equations
A priori estimates for higher order hyperbolic equations
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高阶双曲方程的先验估计
DOI：
10.1007/bf02571728
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发表时间：
1994
影响因子：
0.8
通讯作者：
M. Sugimoto
中科院分区：
文献类型：
--
作者：
M. Sugimoto
当u（t）= Eo（t）go+ El（t）g，9时，Uu= Oult = o= go，Ult= O= gl则算子Ej（t）（j= 0，1）的LV-估计（Petal [10]）和LP-Lq-估计（Lohartz [14]）是公知的.这些估计用于证明解的正则性（LP-估计），并证明当波动方程具有半线性项或位势项扰动时整体解的存在性（LV-Lq-估计）.本文的主题是将它们扩展到更一般的双曲方程
Uu= O ult= o= go, Ult= O= gl as u (t)= Eo (t) go+ El (t) g, 9Then the LV-estimate (Petal [10]) and the LP-Lq-estimate (Strichartz [14]) of the operators Ej (t)(j= 0, 1) are well known. These estimates are used to show the regularity properties of the solution (LP-estimate) and to prove the existence of the global solution in case that the wave equation has such perturbations as semilinear term or potential term (LV-Lq-estimate). The subject of this paper is to extend them to more general hyperbolic equations