Existence of renormalized solutions for nonlocal thermistor problem via weak convergence of truncations

Author:

Dahi IbrahimORCID,Ammi Moulay Rchid Sidi

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference29 articles.

1. Aberqi, A., Bennouna, J., Hammoumi, M.: Uniqueness of renormalized solutions for a class of parabolic equations. Ric 66(2), 629–644 (2017)

2. Antontsev, S.N., Chipot, M.: The thermistor problem: existence, smoothness uniqueness, blowup. SIAM J. Math. Anal. 25(4), 1128–1156 (1994). (SIAM)

3. Bénilan, P., Boccardo, L., Gallouët, Thierry, Gariepy, R., Pierre, M., Vázquez, Juan L.: An $$L^{1}$$-theory of existence and uniqueness of solutions of nonlinear elliptic equations. Ann. della Sc. Norm. Super. di Pisa-Classe di Sci. 22(2), 241–273 (1995)

4. Blanchard, D., Francfort, G.: Study of a doubly nonlinear heat equation with no growth assumptions on the parabolic term. SIAM J. Math. Anal. 19(5), 1032–1056 (1988). (SIAM)

5. Blanchard, D., Murat, F.: Renormalised solutions of nonlinear parabolic problems with $$L^1$$ data: existence and uniqueness. Proc. R. Soc. Edinb. A: Math. 127(6), 1137–1152 (1997). (Royal Society of Edinburgh Scotland Foundation)

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