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In this article, we consider the pullback attraction in $H_{0}^{1}$ of pullback attractor for semilinear heat equation with domains expanding in time. Firstly, we establish higher-order integrability of difference about… Click to show full abstract
In this article, we consider the pullback attraction in $H_{0}^{1}$ of pullback attractor for semilinear heat equation with domains expanding in time. Firstly, we establish higher-order integrability of difference about variational solutions; then, we prove the continuity of variational solution in $H_{0}^{1}(O_{t})$. As application of continuity, we obtain the pullback $\mathscr{D}_{\lambda _{1}}$ attraction in $H_{0}^{1}$-norm.
Keywords:
attraction;
semilinear heat;
pullback attraction;
heat equation
Journal Title: Boundary Value Problems
Year Published: 2020
Link to full text (if available)
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Journal Title: Boundary Value Problems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!