A free boundary problem stemmed from combustion theory. Part I: Existence, uniqueness and regularity results

  • Lorenzi L
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Abstract

We deal with a free boundary problem, depending on a real parameter λ, in a infinite strip in R2, which admits a planar travelling wave solution for every λ ε R. We prove existence, uniqueness and regularity results for the solutions near the travelling wave. © 2002 Elsevier Science (USA). All rights reserved.

Author-supplied keywords

  • Analytic semigroups
  • Analyticity
  • Free boundary problems
  • Fully nonlinear equations
  • Interpolation spaces
  • Linearization
  • Regularity properties
  • Schauder type estimates

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Authors

  • Luca Lorenzi

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