Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition (Q937472)
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scientific article; zbMATH DE number 5312400
| Language | Label | Description | Also known as |
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| English | Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition |
scientific article; zbMATH DE number 5312400 |
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Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition (English)
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15 August 2008
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Summary: This paper is devoted to prove, in a nonclassical function space, the weak solvability of a mixed problem which combines a Neumann condition and an integral boundary condition for the semilinear one-dimensional heat equation. The investigation is made by means of approximation by the Rothe method which is based on a semidiscretization of the given problem with respect to the time variable.
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