The asymptotic behaviour of the heat equation in a sheared unbounded strip
The asymptotic behaviour of the heat equation in a sheared unbounded strip
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We show that the geometric deformation of shearing yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in an unbounded strip. The proof is based on the Hardy inequality due to the shearing established in [2] and the method of self-similar variables and weighted Sobolev spaces for the heat equation.
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The asymptotic behaviour of the heat equation in a sheared unbounded strip
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TN_cdi_proquest_journals_2411955144
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2411955144
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2331-8422
