Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data

Nonlinear Differential Equations and Applications

Volumn 14, Issue 1-2, 2007, Pages 181-205

  Droniou, Jérôme ^a   Prignet, Alain ^b  

^a UNIV MONTPELLIER   (France)

^b UNIVERSITÉ GUSTAVE EIFFEL   (France)

Author keywords

Capacity; Entropy solutions; Measure; Parabolic equations; Renormalized solutions

Indexed keywords

EID: 34848925476     PISSN: 10219722     EISSN: 14209004     Source Type: Journal    
DOI: 10.1007/s00030-007-5018-z     Document Type: Article

References (10)

1. 1-Theory of Existence and Uniqueness of Solutions of Nonlinear Elliptic Equations, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., IV 22(2) (1995).
2. 1 data: existence and uniqueness, Proc. of the Royal Soc. of Edinburgh Section A 127 (1997), 1137-1152.
3. L. BOCCARDO, A. DALL'AGLIO, T. GALLOUËT and L. ORSINA, Nonlinear parabolic equations with measure data, Journ. of Functional Anal. 147 (1997), 237-258.
4. L. BOCCARDO and T. GALLOUËT, Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal. 87 (1989), 241-273.
5. J. DRONIOU, Intégration et Espaces de Sobolev à valeurs vectorielles, available at http://www-gm3.univ-mrs.fr/polys/
6. J. DRONIOU, A. PORRETTA and A. PRIGNET, Parabolic Capacity and soft measures for nonlinear equations, Potential Analysis 19(2) (2003), 99-161.
7. R. LANDES, On the existence of weak solutions for quasilinear parabolic boundary value problems, Proc. Royal Soc. Edinburgh Sect. A 89 (1981), 217-237.
8. G. GAGNEUX and M. MADAUNE-TORT, Analyse mathématique de modèles non linéaires de l'ingéniérie pétrolière, Mathématiques et Applications, 22 Springer, 1996.
9. A. PORRETTA, Existence results for nonlinear parabolic equations via strong convergence of truncations, Ann. Mat. Pura ed Appl. (IV) 177 (1999), 143-172.
10. 1 data, Nonlin. Anal. TMA 28 (1997), 1943-1954.