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PDE Real Analysis Seminar
Seminar information archive ～04/25｜Next seminar｜Future seminars 04/26～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
|---|
2005/03/23
10:30-11:30 Room #122 (Graduate School of Math. Sci. Bldg.)
Helmut Abels (Max Planck Institute)
Pseudodifferential Boundary Value Problems with Non-Smooth Coefficients
http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/index.html
Helmut Abels (Max Planck Institute)
Pseudodifferential Boundary Value Problems with Non-Smooth Coefficients
[ Abstract ]
We discuss an operator class that models elliptic differential boundary value problems as well as their solution operators and is closed under compositions. It was introduced by Boutet de Monvel in 1971 and provides a powerful tool to calculate with symbols associated to these operators. But the standard calculus and most of its further developments require that the symbols have smooth coefficient in the space and phase variable. We present some results which extend the calculus to symbols which have limited smoothness in the space variable. Such an extension is nescessary to apply the calculus to nonlinear partial differential boundary value problems and free boundary value problems.
[ Reference URL ]We discuss an operator class that models elliptic differential boundary value problems as well as their solution operators and is closed under compositions. It was introduced by Boutet de Monvel in 1971 and provides a powerful tool to calculate with symbols associated to these operators. But the standard calculus and most of its further developments require that the symbols have smooth coefficient in the space and phase variable. We present some results which extend the calculus to symbols which have limited smoothness in the space variable. Such an extension is nescessary to apply the calculus to nonlinear partial differential boundary value problems and free boundary value problems.
http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/index.html
