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  • We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay rate of the heat semigroup of the order of t(-1/2). The proof employs similarity variables that lead to a non-autonomous parabolic equation in a thin strip contracting to the real line, that can be analysed on weighted Sobolev spaces in which the operators under consideration have discrete spectra.
  • We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay rate of the heat semigroup of the order of t(-1/2). The proof employs similarity variables that lead to a non-autonomous parabolic equation in a thin strip contracting to the real line, that can be analysed on weighted Sobolev spaces in which the operators under consideration have discrete spectra. (en)
Title
  • The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
  • The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide (en)
skos:prefLabel
  • The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
  • The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide (en)
skos:notation
  • RIV/61389005:_____/11:00367928!RIV13-AV0-61389005
http://linked.open...avai/riv/aktivita
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  • P(LC06002), Z(AV0Z10480505)
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  • 5
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  • 187375
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  • RIV/61389005:_____/11:00367928
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  • Laplacian; Dirichlet and Neumann boundary conditions; Twist (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [5797FDFB79E5]
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  • Journal of Differential Equations
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  • 250
http://linked.open...iv/tvurceVysledku
  • Krejčiřík, David
  • Zuazua, E.
http://linked.open...ain/vavai/riv/wos
  • 000286699700003
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-0396
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jde.2010.11.005
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