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  • We define a new class of admissible solutions for the parabolic problems where the theory of viscosity solutions does not apply. A typical example is the porous medium equation complemented by lower-order terms, nonlinear with respect to the gradient. In the case, the nonlinearity in the quation fails to be proper in the sense of the theory of viscosity solutions. The admissible solutions satisfy a very general comparison principle and, consequently, the corresponding initial-boundary value problems are....
  • We define a new class of admissible solutions for the parabolic problems where the theory of viscosity solutions does not apply. A typical example is the porous medium equation complemented by lower-order terms, nonlinear with respect to the gradient. In the case, the nonlinearity in the quation fails to be proper in the sense of the theory of viscosity solutions. The admissible solutions satisfy a very general comparison principle and, consequently, the corresponding initial-boundary value problems are.... (en)
Title
  • Admissible solutions for a class of nonlinear parabolic problem with non-negative data.
  • Admissible solutions for a class of nonlinear parabolic problem with non-negative data. (en)
skos:prefLabel
  • Admissible solutions for a class of nonlinear parabolic problem with non-negative data.
  • Admissible solutions for a class of nonlinear parabolic problem with non-negative data. (en)
skos:notation
  • RIV/67985840:_____/01:05025130!RIV/2003/AV0/A05003/N
http://linked.open.../vavai/riv/strany
  • 857;883
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  • P(IAA1019703), Z(AV0Z1019905)
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  • 5
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  • 672611
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  • RIV/67985840:_____/01:05025130
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  • admissible solutions%nonlinear parabolic problem; admissible solutions; comparison principle; non-negative data (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [13E63B43B4D7]
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Royal Society of Edinburgh. Section A - Mathematics
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 131
http://linked.open...iv/tvurceVysledku
  • Feireisl, Eduard
  • Petzeltová, Hana
  • Simondon, F.
http://linked.open...n/vavai/riv/zamer
issn
  • 0308-2105
number of pages
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