Universal bound for global positive solutions of a superlinear parabolic problem

Mathematische Annalen

Volumn 320, Issue 2, 2001, Pages 299-305

  Quittner, Pavol ^a  

^a Faculty of Natural Sciences   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035631053     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004475     Document Type: Article

References (9)

1. H. Brezis and T. Cazenave, A nonlinear heat equation with singular initial data, J. Anal. Math. 68(1996), 277-304
2. H. Brezis and R.E.L. Turner, On a class of superlinear elliptic problems, Commun. Partial Differ. Equations 2 (1977), 601-614
3. T. Cazenave and P.-L. Lions, Solutions globales d'équations de la chaleur semi linéaires, Commun. Partial Differ. Equations 9 (1984), 955-978
4. p spaces and universal bounds for global solutions, Math. Ann., to appear
5. B. Gidas and J. Spruck, A priori bounds for positive solutions of nonlinear elliptic equations, Commun. Partial Differ. Equations 6 (1981), 883-901
6. Y. Giga, A bound for global solutions of semilinear heat equations, Commun. Math. Phys. 103 (1986), 415-421
7. t = -Au + Script F sign(u), Arch. Rational Mech. Anal. 51 (1973), 371-386
8. P. Quittner, A priori bounds for global solutions of a semilinear parabolic problem, Acta Math. Univ. Comenianae 68 (1999), 195-203
9. p, Indiana Univ. Math. J. 29 (1980), 79-102