Blow-up in Nonlinear Heat Equations

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dc.creatorDejak, S.
dc.creatorGang, Zhou
dc.creatorSigal, I. M.
dc.creatorWang, S.
dc.date2006-09-06
dc.date2006-10-16
dc.date.accessioned2026-07-07T07:24:33Z
dc.date.available2026-07-07T07:24:33Z
dc.descriptionWe study the blow-up problem of one-dimensional nonlinear heat equations. Our result shows that for a certain class of initial conditions, the solutions blow up in finite time and we characterize the asymptotic dynamics of these solutions. The approach is analogous to one used in bifurcation theory and our techniques can be regarded as a time-dependent version of the Lyapunov-Schmidt decomposition.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/0609161
dc.identifierhttp://arxiv.org/abs/math/0609161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116401
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35K57
dc.titleBlow-up in Nonlinear Heat Equations
dc.typetext

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