- 92-53 Eckmann , J.-P., Epstein , H., Wayne , C.E.
- NORMAL FORMS FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
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.