(1+1)维Maxwell-Chern-Simons-Higgs系统解的局部适定性  

Local well-posedness of solutions of(1+1)-dimension Maxwell-Chern-Simons-Higgs system

作　　者：孟嘉乐 MENG Jiale(College of Science,Yanbian University,Yanji 133002,China)

机构地区：[1]延边大学理学院,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2023年第4期341-344,371,共5页Journal of Yanbian University（Natural Science Edition）

摘　　要：在Lorenz规范条件下,研究了(1+1)维Maxwell-Chern-Simons-Higgs波动系统.利用Sobolev嵌入不等式和压缩映射不动点定理证明了(1+1)维Maxwell-Chern-Simons-Higgs系统的Cauchy问题在H2×H1空间上具有局部适定性.Under the Lorenz gauge condition,the(1+1)-dimensional Maxwell-Chern-Simons-Higgs wave system was studied.And the local well-posedness of the Cauchy problem of the(1+1)-dimensional Maxwell-Chern-Simons-Higgs system in H^(2)×H^(1) space was proved by Sobolev embedding inequality and the contraction mapping fixed point theorem.

关 键 词：Maxwell-Chern-Simons-Higgs系统 Lorenz规范条件 Sobolev嵌入不等式 局部适定性 

分 类 号：O175.29[理学—数学]