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The Existence of Steady Wave Solutions to a Non‐Local Version of the K.P.P. Equation
Author(s) -
Atkinson C.
Publication year - 1978
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm197859295
Subject(s) - range (aeronautics) , mathematics , wave equation , mathematical analysis , traveling wave , mathematical physics , physics , materials science , composite material
For the equationwith , wave solutions of the form c ( x 1 + at )( c (+ ∞) = 1, c (− ∞) = 0) are shown to exist for a range of values of a . For velocities outside this range non‐existence theorems are proved.