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

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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.

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Lorenzi, L. (2002). A free boundary problem stemmed from combustion theory. Part I: Existence, uniqueness and regularity results. Journal of Mathematical Analysis and Applications, 274(2), 505–535. https://doi.org/10.1016/S0022-247X(02)00271-8

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