Semilinear heat equation with singular terms
The main goal of this paper is to analyze the existence and nonexistence as well as the regularity of positive solutions for the following initial parabolic problem ∂tu − ∆u = µ u |x| 2 f u in ΩT := Ω × (0, T), u = 0 on ∂Ω × (0, T), u(x, 0) = u0(x) in Ω, where Ω ⊂ RN, N ≥ 3, is a bounded open, σ ≥ 0...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2022
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Hőegyenlet - féllineáris |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2022.1.69 |
| Online Access: | http://acta.bibl.u-szeged.hu/78354 |