Applied Analysis and Mechanics Seminar
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Mon, 26/04/2004 17:00 |
Scott Spector (Southern Illinois University) |
Applied Analysis and Mechanics Seminar  |
L1 |
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Mon, 03/05/2004 17:00 |
Jean Dolbeault (Paris, Dauphine) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 10/05/2004 17:00 |
Evariste Sanchez-Palencia (Paris 6) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 17/05/2004 17:00 |
Bryan Rynne (Heriot-Watt) |
Applied Analysis and Mechanics Seminar |
L1 |
| We consider semilinear Sturm-Liouville and elliptic problems with jumping nonlinearities. We show how `half-eigenvalues' can be used to describe the solvability of such problems and consider the structure of the set of half-eigenvalues. It will be seen that for Sturm-Liouville problems the structure of this set can be considerably more complicated for periodic than for separated boundary conditions, while for elliptic partial differential operators only partial results are known about the structure in general. | |||
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Mon, 24/05/2004 17:00 |
Stefan Wenger (ETH-Zurich) |
Applied Analysis and Mechanics Seminar |
L1 |
| Integral currents were introduced by H. Federer and W. H. Fleming in 1960 as a suitable generalization of surfaces in connection with the study of area minimization problems in Euclidean space. L. Ambrosio and B. Kirchheim have recently extended the theory of currents to arbitrary metric spaces. The new theory provides a suitable framework to formulate and study area minimization and isoperimetric problems in metric spaces. The aim of the talk is to discuss such problems for Banach spaces and for spaces with an upper curvature bound in the sense of Alexandrov. We present some techniques which lead to isoperimetric inequalities, solutions to Plateau's problem, and to other results such as the equivalence of flat and weak convergence for integral currents. | |||
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Mon, 07/06/2004 17:00 |
Berck Gautier (Universite catholique de louvain) |
Applied Analysis and Mechanics Seminar |
L1 |
| The talk will discuss the variationnal problem on finite dimensional normed spaces and Finsler manifolds. We first review different notions of ellipticity (convexity) for parametric integrands (densities) on normed spaces and compare them with different minimality properties of affine subspaces. Special attention will be given to Busemann and Holmes-Thompson k-area. If time permits, we will then present the first variation formula on Finsler manifolds and exhibit a class of minimal submanifolds. | |||
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Mon, 14/06/2004 17:00 |
A I Schnirelman (Hull) |
Applied Analysis and Mechanics Seminar |
L1 |
