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PDE Real Analysis Seminar
Seminar information archive ～09/11｜Next seminar｜Future seminars 09/12～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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2007/03/22
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Matteo Novaga (Hokkaido University / Universita di Pisa)
A semidiscrete scheme for the Perona Malik equation
http://coe.math.sci.hokudai.ac.jp/
Matteo Novaga (Hokkaido University / Universita di Pisa)
A semidiscrete scheme for the Perona Malik equation
[ Abstract ]
We discuss the convergence of the spatial semidiscrete scheme for the one-dimensional Perona-Malik equation. If the initial datum is 1-Lipschitz out of a finite number of jump points, we haracterize the problem satisfied by the limit solution. In the general case, we construct a solution by a careful inspection of the behaviour of the approximating solutions in a space-time neighbourhood of the jump points.
[ Reference URL ]We discuss the convergence of the spatial semidiscrete scheme for the one-dimensional Perona-Malik equation. If the initial datum is 1-Lipschitz out of a finite number of jump points, we haracterize the problem satisfied by the limit solution. In the general case, we construct a solution by a careful inspection of the behaviour of the approximating solutions in a space-time neighbourhood of the jump points.
http://coe.math.sci.hokudai.ac.jp/
