Weak solutions for nonlocal boundary value problems with low regularity data

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
1. Verfasser: Wang, Yuandi
Format: Artikel
Sprache:eng
Schlagworte:
Boundary condition
Exact sciences and technology
Existence
Mathematical analysis
Mathematics
Maximal regularity
Nonlocal
Partial differential equations
Sciences and techniques of general use
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Beschreibung
Zusammenfassung: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2006.05.002