Abstract
Scaling and renormalization group (RG) methods are used to studyparabolic equations with a small nonlinear term and find the decayexponents. The determination of decay exponents is viewed as anasymptotically self similar process that facilitates an RGapproach. These RG methods are extended to higher order in thesmall coefficient of the nonlinearity. The RG results are verifiedin some cases by rigorous proofs and other calculational methods.
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