Maximal regular boundary value problems in Banach-valued function spaces and applications
The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint. Several conditions for the maximal regularity and the Fredholmness in B...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/92134 |
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| Summary: | The nonlocal boundary value problems for differential operator
equations of second order with dependent coefficients are studied.
The principal parts of the differential operators generated by
these problems are non-selfadjoint. Several conditions for the
maximal regularity and the Fredholmness in Banach-valued
Lp-spaces of these problems are given. By using these
results, the maximal regularity of parabolic nonlocal initial
boundary value problems is shown. In applications, the nonlocal
boundary value problems for quasi elliptic partial differential
equations, nonlocal initial boundary value problems for parabolic
equations, and their systems on cylindrical domain are
studied. |
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| ISSN: | 0161-1712 1687-0425 |