Abstract
We give an existence and uniqueness result for an evolution equation \({u_{t} + \mathcal{A}u = f}\), with suitable boundary data and where \({\mathcal{A}}\) is a strictly monotone operator, in a non-cylindrical domain.
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Paronetto, F. An existence result for evolution equations in non-cylindrical domains. Nonlinear Differ. Equ. Appl. 20, 1723–1740 (2013). https://doi.org/10.1007/s00030-013-0227-0
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DOI: https://doi.org/10.1007/s00030-013-0227-0