Weak solutions for nonlocal boundary value problems with low regularity data
This paper concerns the existence and uniqueness of weak solutions for elliptic and parabolic equations under nonlocal boundary conditions, based on maximal regularity. It also gives the positivity of solutions which can be used in monotone iteration methods. As an application, the results are used...
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| Veröffentlicht in: | Nonlinear analysis 2007-07, Vol.67 (1), p.103-125 |
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| container_end_page | 125 |
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| container_issue | 1 |
| container_start_page | 103 |
| container_title | Nonlinear analysis |
| container_volume | 67 |
| creator | Wang, Yuandi |
| description | This paper concerns the existence and uniqueness of weak solutions for elliptic and parabolic equations under nonlocal boundary conditions, based on maximal regularity. It also gives the positivity of solutions which can be used in monotone iteration methods. As an application, the results are used to discuss some specific nonlocal problems. |
| doi_str_mv | 10.1016/j.na.2006.05.002 |
| format | Article |
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| ispartof | Nonlinear analysis, 2007-07, Vol.67 (1), p.103-125 |
| issn | 0362-546X 1873-5215 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Boundary condition Exact sciences and technology Existence Mathematical analysis Mathematics Maximal regularity Nonlocal Partial differential equations Sciences and techniques of general use |
| title | Weak solutions for nonlocal boundary value problems with low regularity data |
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