JournalsrsmupVol. 121pp. 145–159

The Thermistor Obstacle Problem with Periodic Data

  • Maurizio Badii

    Università di Roma La Sapienza, Italy
The Thermistor Obstacle Problem with Periodic Data cover
Download PDF

Abstract

The object of this paper is the study of an obstacle thermistor problem with a nonlocal term. Using the classical Lax-Milgram theorem, a result of Lions and a fixed point argument we prove existence of weak periodic solutions. Finally, by means of some a-priori estimates in Campanato's spaces, we obtain the regularity of these solutions.

Cite this article

Maurizio Badii, The Thermistor Obstacle Problem with Periodic Data. Rend. Sem. Mat. Univ. Padova 121 (2009), pp. 145–159

DOI 10.4171/RSMUP/121-8