Travelling wavefronts of reaction-diffusion equations in cylindrical domains |
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Authors: | José M Vega |
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Institution: | E.T.S.I. Aeronáuticos , Universidad Politécnica de Madrid , Madrid, 28040, SPAIN |
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Abstract: | Abstract Function spaces with asymptotics is a usual tool in the analysis on manifolds with singularities. The asymptotics are singular ingredients of the kernels of pseudodifferential operators in the calculus. They correspond to potentials supported by the singularities of the manifold, and in this form asymptotics can be treated already on smooth configurations. This article is aimed at describing refined asymtotics in the Dirichlet problem in a ball. The beauty of explicit formulas actually highlights the structure of asymptotic expansions in the calculi on singular varieties. |
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Keywords: | Harmonic function Regularisation The Poisson kernel AMS Subject Classification Primary: 32A40 Secondary: 32F40 |
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