92-53 Eckmann , J.-P., Epstein , H., Wayne , C.E.

NORMAL FORMS FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS (58K, TeX) May 6, 92

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Abstract. We begin a study of normal form theorems for parabolic partial differential equations. We show that despite the presence of resonances one can construct a partial normal form for perturbations of the Ginzburg-Landau equation. The normal form transformation is expressed in terms of singular integral operators, whose behavior can be controlled in the appropriate function spaces.

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