Global solutions for quasilinear parabolic problems

Adrian Constantin, J Escher

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36 Citations (SciVal)


Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented. Besides quasilinear parabolic equations, the method is also applicable to some weakly-coupled reaction-diffusion systems and to elliptic equations with nonlinear dynamic boundary conditions.
Original languageEnglish
Pages (from-to)97-111
JournalJournal of Evolution Equations
Issue number1
Publication statusPublished - 2002

Subject classification (UKÄ)

  • Mathematics


  • elliptic equations
  • conditions
  • dynamic boundary
  • reaction-diffusion systems
  • weakly coupled
  • global solutions
  • quasilinear parabolic equations


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