| 21. | Taking the boundary values of both sides and their normal derivative yields 2 equations.
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| 22. | Although all these equations are boundary value problems, they are further subdivided into categories.
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| 23. | The analysis of elliptic boundary value problems requires some fairly sophisticated tools of functional analysis.
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| 24. | The boundary value is the minimum ( or maximum ) value that is at the boundary.
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| 25. | The present article deals with the category of boundary value problems known as linear elliptic problems.
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| 26. | In general, if B is any trace operator, one can construct the boundary value problem
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| 27. | Poincare either requires that the function have average value 0, or have boundary values 0.
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| 28. | Test cases are supposed to be designed based on the both valid and invalid boundary values.
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| 29. | For the Eikonal equation, this correction can be done by solving a boundary value problem.
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| 30. | Then the solution of the Laplace equation with Dirichlet boundary values g inside the sphere is given by
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