一类二阶双曲型方程组Dirichlet外问题解的存在性和正则性  

Existence and Regularity of Solutions to Dirichlet Problem for Hyperbolic System of Second Order Outside a Domain

作　　者：任璐璐[1] 辛杰[1] REN Lulu XIN Jie(School of Mathematics and Statistics Science, Ludong University, Yantai 264039, Chin)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2017年第1期1-7,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371183;11271050);山东省自然科学基金(ZR2013AM004)

摘　　要：研究了包含uxt的二阶双曲型方程组的外问题,利用半群理论证明了该问题解的存在性并给出了解的正则性的估计.The Dirichlet problem for hyperbolic system of second order containing uxt outside a domain was studied. The existence of solutions to this problem was proved and the estimate for the regularity of solutions was given.

关 键 词：二阶双曲型方程组 DIRICHLET边界条件 外问题 正则性 

分 类 号：O175.27[理学—数学]