Regularity for a clamped grid equation $u_{xxxx}+u_{yyyy}=f $ on a domain with a corner
The operator $L=frac{partial ^{4}}{partial x^{4}} +frac{partial ^{4}}{partial y^{4}}$ appears in a model for the vertical displacement of a two-dimensional grid that consists of two perpendicular sets of elastic fibers or rods. We are interested in the behaviour of such a grid that is clamped at...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/47/abstr.html |