Su un teorema di unicità per l'equazione semilineare del calore in un dominio illimitato
Piero Bassanini (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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A periodic BVP for a semilinear elliptic-parabolic equation in an unbounded domain contained in a half-space of is considered, with Dirichlet boundary conditions on the finite part of . A theorem of uniqueness of periodic solutions is proved by showing that a suitable function of the "energy" is subharmonic in and satisfies a Phragmèn-Lindelöf growth condition at infinity.