Weak solutions for nonlocal boundary value problems with low regularity data |
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Authors: | Yuandi Wang |
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Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
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Abstract: | 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. |
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Keywords: | 35J25 35J65 35K20 35K55 35K57 |
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