Rendiconti del Seminario Matematico della Università di Padova


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Volume 135, 2016, pp. 175–193
DOI: 10.4171/RSMUP/135-10

The thermistor problem with Robin boundary condition

Giovanni Cimatti[1]

(1) Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5,, 56127, Pisa, Italy

We study the thermistor problem with Robin boundary condition for the temperature. A theorem of existence is proved using the compensated compactness method. For the one-dimensional case a result of non-existence and non-uniqueness is also given.

Keywords: Thermistor problem, Robin boundary condition, existence, uniqueness of solutions

Cimatti Giovanni: The thermistor problem with Robin boundary condition. Rend. Sem. Mat. Univ. Padova 135 (2016), 175-193. doi: 10.4171/RSMUP/135-10