Elliptic regularity and solvability for partial differential equations with Colombeau coefficients
This paper addresses questions of existence and regularity of solutions to linear partial differential equations whose coefficients are generalized functions or generalized constants in the sense of Colombeau. We introduce various new notions of ellipticity and hypoellipticity, study their interrela...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/14/abstr.html |