On the ellipticity and solvability of an abstract second-order differential equation
In this work we give some new results on a complete abstract second-order differential equation of elliptic type in the non-homogeneous case. Existence, uniqueness, and maximal regularity of the strict solution are proved under some natural assumptions which imply the ellipticity of the differential...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2001-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2001/57/abstr.html |
| Summary: | In this work we give some new results on a complete abstract second-order differential equation of elliptic type in the non-homogeneous case. Existence, uniqueness, and maximal regularity of the strict solution are proved under some natural assumptions which imply the ellipticity of the differential equation. |
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| ISSN: | 1072-6691 |