Article Contents
Article Contents

# Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results

• Scaling and renormalization group (RG) methods are used to study parabolic equations with a small nonlinear term and find the decay exponents. The determination of decay exponents is viewed as an asymptotically self similar process that facilitates an RG approach. These RG methods are extended to higher order in the small coefficient of the nonlinearity. The RG results are verified in some cases by rigorous proofs and other calculational methods.
Mathematics Subject Classification: 35K55, 35K05, 35K15, 82B28, 41A60.

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