The blow-up of solutions of a nonlocal thermistor problem

Applied Mathematics Letters

Volumn 9, Issue 1, 1996, Pages 59-63

  Barabanova, A ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Barta's inequality; Blow up; Nonlocal problem; Thermistor

Indexed keywords

EID: 0040058195     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(95)00103-4     Document Type: Article

References (4)

1. W. Allegretto and H. Xie, A nonlocal thermistor problem. Europ. J. Appl. Math. 6, 83-94 (1995).
2. S.N. Antontsev and M. Chipo. The thermistor problem: Existence, smoothness, uniqueness, blowup, SIAM J. Math. Anal. 25, 1128-1156 (1994).
3. A.A. Lacey, Thermal runaway in a nonlocal problem modelling Ohmic heating: Part I: Model derivation and some special cases, Europ. J. Appl. Math. 6. 127 144 (1995).
4. M. Protter and H. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, (1967).