Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition
2006 ◽
Vol 2006
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pp. 1-20
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Keyword(s):
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.
2012 ◽
Vol 91
(12)
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pp. 2267-2276
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2015 ◽
Vol 33
(1)
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pp. 17-32
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2008 ◽
Vol 13
(4)
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pp. 467-490
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2013 ◽
Vol 694-697
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pp. 699-702
2015 ◽
Vol 20
(6)
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pp. 802-818
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