半线性抛物方程在L2p空间中全局吸引子的存在性
반선성포물방정재L2p공간중전국흡인자적존재성
EXISTENCE OF GLOBAL ATTRACTORS FOR SEMILINEAR PARABOLIC EQUATION IN L2p SPACE
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2011年 2期 205-210 ,共6页

    宋雪丽%弓剑军

    송설려%궁검군

    半线性抛物方程%全局吸引子%半群算子 半線性拋物方程%全跼吸引子%半群算子
    반선성포물방정%전국흡인자%반군산자
    Semilinear parabolic equations%global attractors%semigroup operator
    本文研究了半线性抛物方程所生成的半群{S(t)}t≥0的吸引子的存在性.利用文献[1]中证明吸引子正则性的思想,分别得到半群{S(t)}t≥0在L2p(Ω)空间中具有一个有界吸收集和一个全局吸引子.
    본문연구료반선성포물방정소생성적반군{S(t)}t≥0적흡인자적존재성.이용문헌[1]중증명흡인자정칙성적사상,분별득도반군{S(t)}t≥0재L2p(Ω)공간중구유일개유계흡수집화일개전국흡인자.
    In this article,we investigate the existence of attractor for the semigroup {S(t)}t≥0,which is generated by the semilinear parabolic equation.By using the idea for the proof of regularity of the attractor in[1],we obtain a bounded absorbing set and a global attractor for semigroup{S(t)}t≥0 in L2p(Ω),respectively.
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