Antontsev, S. N.; Chipot, M. The thermistor problem: Existence, smoothness, uniqueness, blowup. (English) Zbl 0808.35059 SIAM J. Math. Anal. 25, No. 4, 1128-1156 (1994). Cited in 1 ReviewCited in 51 Documents MSC: 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 35K20 Initial-boundary value problems for second-order parabolic equations 35K50 Systems of parabolic equations, boundary value problems (MSC2000) 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs 35D10 Regularity of generalized solutions of PDE (MSC2000) Keywords:thermistor; Joule effect in an electric conductor; blowup PDF BibTeX XML Cite \textit{S. N. Antontsev} and \textit{M. Chipot}, SIAM J. Math. Anal. 25, No. 4, 1128--1156 (1994; Zbl 0808.35059) Full Text: DOI OpenURL