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MSRI Summer Microprogram on Nonlinear Partial Differential Equations |
| July 23, 2007 to August 10, 2007 |
| Organized By: L. C. Evans (UC Berkeley, Chair), C. Gutierrez (Temple), C. Sogge (Johns Hopkins), D. Tataru (UC Berkeley) |
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| Return to Workshop Description |
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On the Green's matrices of strongly elliptic and parabolic systems of second order
Monday July 23, 2007
02:00PM - 02:50PM
Speakers:
Hongjie Dong
Abstract:
We establish existence and various estimates of fundamental matrices and Green's matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical domains under the assumption that solutions of the systems satisfy Morrey-Campanato type local H\"older continuity estimates.
As an application, we also obtain existence, uniqueness, and pointwise estimates of the Green's matrices for elliptic systems in two dimensional domains. This talk is based on joint work with S. Kim and S. Cho.
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