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

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 ∈ R. We prove existence, uniqueness and regularity results for the solutions near the travelling wave.  2002 Elsevier Science (USA). All rights reserved.