Boundary value problem with integral conditions for a linear third-order equation (Q2570865)
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| Language | Label | Description | Also known as |
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| English | Boundary value problem with integral conditions for a linear third-order equation |
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Boundary value problem with integral conditions for a linear third-order equation (English)
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31 October 2005
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Summary: We prove the existence and uniqueness of a strong solution for a linear third-order equation of the type \(\partial_t^3u + \partial_x (a(x,t) \partial_x u)= f(x,t)\) with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
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strong solution
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integral boundary conditions
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density of the range
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