The problem of uniqueness of the limit in a semilinear heat equation

Communications in Partial Differential Equations

Volumn 24, Issue 11-12, 1999, Pages 2147-2172

  Cortázar, Carmen ^a   Del Pino, Manuel ^b   Elgueta, Manuel ^a  

^a PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

^b UNIVERSITY OF CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033475520     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309908821497     Document Type: Article

References (9)

1. D. Aronson, L. Caffarelli, The initial trace of the solution of the porous medium equation, Trans. Amer. Math. Soc. 280 (1983), 351-366.
2. T. Cazenave and P.L. Lions, Solutions globales d'equations de la chaleur semilineaires, Comm. Partial Diff. Equations 9 (1984), 935-978.
3. C.-C. Chen and C.-S. Lin, Uniqueness of the ground state, solution of Δu + f(u) = 0, Comm. Partial Differential Equations. 16 (1991), 1549-1572.
4. n, Mathematical Analysis and Applications, Part A, Adv. Math. Suppl. Studies 7A (1981), Academic Press, New York, 369-402.
5. Y. Giga and R. Kohn, Characterizing blow-up using similarity variables Indiana Univ. Math. J. 36, (1987) 1-40.
6. N. Korevaar, R. Mazzeo, F. Pacard and R. Schoen, Refined asymptotics for constant scalar curvature metrics with isolated singularities. Invent. Mat. 135, No. 2, (1999), 233-272.
7. n, Arch. Rational Mech. Anal. 105 (1989), 243-266.
8. W.-M. Ni and I. Takagi, Locating the peaks of least-energy solutions to a semilinear Neumann problem, Duke Math. J. 70 (1993), 247-281.
9. L. Simon, Asymptotics for a class of non-linear evolution equations with applications to geometric problems, Annals of Math. 118 (1983), 525-571.