Renormalized solutions to nonlinear parabolic problems with blowing up coefficients and general measure data

Author:

Abdellaoui Mohammed,Azroul Elhoussine

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference37 articles.

1. Bénilan, P., Boccardo, L., Gallouët, T., Gariepy, R., Pierre, M., Vazquez, J.L.: An $$L^{1}-$$ L 1 - theory of existence and uniqueness of nonlinear elliptic equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 22, 241–273 (1995)

2. Boccardo, L., Diaz, I., Giachetti, D., Murat, F.: Existence of a solution for a weaker form of a nonlinear elliptic equation. Recent advances in nonlinear elliptic and parabolic problems (Nancy, 1988), Pitman Res. Notes Math. Ser. 208, pp. 229–246. Longman (1989)

3. Boccardo, L., Dall’Aglio, A., Gallouët, T., Orsina, L.: Nonlinear parabolic equations with measure data. J. Funct. Anal. 147, 237–258 (1997)

4. Blanchard, D., Guibé, O., Redwane, H.: Nonlinear equations with unbounded heat conduction and integrable data. Ann. Mat. Pura Appl. (4) 187(3), 405–433 (2008)

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

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