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Gmira, Abdelilah; Véron, Laurent

Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\). (English) Zbl 0529.35041

J. Differ. Equations 53, 258-276 (1984).
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Cited in 70 Documents

MSC:

35K55 Nonlinear parabolic equations
35B40 Asymptotic behavior of solutions to PDEs
35K15 Initial value problems for second-order parabolic equations
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs

Keywords:

large time behavior; semilinear parabolic equation; subsolutions; supersolutions; scaling transformation; Cauchy problem

Citations:

Zbl 0506.35058
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\textit{A. Gmira} and \textit{L. Véron}, J. Differ. Equations 53, 258--276 (1984; Zbl 0529.35041)
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References:

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[3] {\scH. Brezis and A. Friedman}, Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures Appl., in press. · Zbl 0527.35043
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[11] Le, C.H, Dérivabilité d’un semi-groupe engendré par un opérateur m-accrétif de \(L\^{}\{1\}(Ω)\) et accrétif dans \(L\^{}\{∞\}(Ω)\), C. R. acad. sci. Paris, 283, 469-472, (1976) · Zbl 0336.47038
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[14] Stein, E.M, Topics in harmonic analysis, (1970), Princeton Univ. Press Princeton, N. J
[15] Veron, L, Effets regularisants de semi-groupes non linéaires dans des espaces de Banach, Ann. fac. sci. Toulouse, 1, 171-200, (1979) · Zbl 0426.35052
[16] Veron, L, Comportement asymptotique des solutions d’équations elliptiques semilinéaires dans \(R\)^{N}, Ann. math. pura appl., 127, 25-50, (1981) · Zbl 0467.35013
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.