Concept explainers
Solve the Neumann problem for a rectangle:
Explain why a necessary condition for a solution u to exist is that g satisfy
This is sometimes called a compatibility condition. Do some extra reading and explain the compatibility condition on physical grounds.
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Differential Equations with Boundary-Value Problems (MindTap Course List)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning