Summary
We consider a parabolic equation with a nonlinear time-dependent boundary condition, where the nonlinearity is subjected only to «one-sided» conditions. In order to solve this equation, we extend some results of [6] and [9] to the nonautonomous case.
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Lavoro eseguito nell'ambito di un progetto nazionale di ricerca finanziato dal Ministero della Pubblica Istruzione (40% — 1983).
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Degiovanni, M. Parabolic equations with nonlinear time-dependent boundary conditions. Annali di Matematica pura ed applicata 141, 223–263 (1985). https://doi.org/10.1007/BF01763175
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DOI: https://doi.org/10.1007/BF01763175