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
Online-Zugang:	Volltext
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