The thermistor problem with Robin boundary condition
Cimatti, Giovanni1
1 Università di Pisa, PISA, ITALY
Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 175-193.

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.

DOI : 10.4171/RSMUP/135-10
Classification : 35
Mots clés : Thermistor problem, Robin boundary condition, existence, uniqueness of solutions
Cimatti, Giovanni 1

1 Università di Pisa, PISA, ITALY 
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     author = {Cimatti, Giovanni},
     title = {The thermistor problem with {Robin} boundary condition},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {175--193},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {135},
     year = {2016},
     doi = {10.4171/RSMUP/135-10},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/135-10/}
}
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Cimatti, Giovanni. The thermistor problem with Robin boundary condition. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 175-193. doi : 10.4171/RSMUP/135-10. http://www.numdam.org/articles/10.4171/RSMUP/135-10/

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