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.
@article{RLINA_1985_8_78_6_278_0, author = {Piero Bassanini}, title = {Su un teorema di unicit\`a per l'equazione semilineare del calore in un dominio illimitato}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {78}, year = {1985}, pages = {278-285}, zbl = {0656.35064}, mrnumber = {0919020}, language = {it}, url = {http://dml.mathdoc.fr/item/RLINA_1985_8_78_6_278_0} }
Bassanini, Piero. Su un teorema di unicità per l'equazione semilineare del calore in un dominio illimitato. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 78 (1985) pp. 278-285. http://gdmltest.u-ga.fr/item/RLINA_1985_8_78_6_278_0/
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