OxPDE Special Seminar
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Thu, 17/11/2011 15:00 |
Professor Charles A Stuart |
OxPDE Special Seminar  |
Gibson 1st Floor SR |
| • Review of the basic notions concerning bifurcation and asymptotic linearity. • Review of differentiability in the sense of Gˆateaux, Fréchet, Hadamard. • Examples which are Hadamard but not Fréchet differentiable. The Dirichlet problem for a degenerate elliptic equation on a bounded domain. The stationary nonlinear Schrödinger equation on RN | |||
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Thu, 24/11/2011 15:00 |
Professor Charles A Stuart |
OxPDE Special Seminar |
Gibson 1st Floor SR |
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• Bifurcation from isolated eigenvalues of finite multiplicity of the linearisation. • Pseudo-inverses and parametrices for paths of Fredholm operators of index zero. • Detecting a change of orientation along such a path. • Lyapunov-Schmidt reduction |
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Thu, 01/12/2011 15:00 |
Professor Charles A Stuart |
OxPDE Special Seminar |
Gibson 1st Floor SR |
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• Sufficient conditions for bifurcation from points that are not isolated eigenvalues of the linearisation. • Odd potential operators. • Defining min-max critical values using sets of finite genus. • Formulating some necessary conditions for bifurcation. |
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