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Finite fractal dimension of pullback attractors for a nonclassical diffusion equation
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<abstract><p>In this paper, we investigate the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in $ H^1_0(\Omega) $. First, we prove the existence of pullback attractors for a nonclassical diffusion equation with arbitrary polynomial growth condition by applying the operator decomposition method. Then, by the fractal dimension theorem of pullback attractors given by <sup>[<xref ref-type="bibr" rid="b6">6</xref>]</sup>, we prove the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in $ H^1_0(\Omega) $.</p></abstract>
Title: Finite fractal dimension of pullback attractors for a nonclassical diffusion equation
Description:
<abstract><p>In this paper, we investigate the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in $ H^1_0(\Omega) $.
First, we prove the existence of pullback attractors for a nonclassical diffusion equation with arbitrary polynomial growth condition by applying the operator decomposition method.
Then, by the fractal dimension theorem of pullback attractors given by <sup>[<xref ref-type="bibr" rid="b6">6</xref>]</sup>, we prove the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in $ H^1_0(\Omega) $.
</p></abstract>.
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