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Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations

✍ Scribed by Matteo Bonforte; Juan Luis Vázquez

Book ID
108051709
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
474 KB
Volume
223
Category
Article
ISSN
0001-8708

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Existence of fast positive wavefronts fo
Existence of fast positive wavefronts for a non-local delayed reaction–diffusion equation
✍ Maitere Aguerrea 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 836 KB

We establish the existence of a continuous family of fast positive wavefronts u(t, x) = φ(x+ct), φ(-∞) = 0, φ(+∞) = κ, for the non-local delayed reaction-diffusion equation Here 0 and κ > 0 are fixed points of g ∈ C 2 (R + , R + ) and the non-negative K is such that R K (w)e λw dw is finite for eve