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Traveling wave solutions for some discrete quasilinear parabolic equations

✍ Scribed by Sheng-Chen Fu; Jong-Shenq Guo; Shang-Yau Shieh

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 119 KB
Volume: 48
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(00)00242-x

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## Abstract We study the Cauchy problem for the quasilinear parabolic equation magnified image where __p__ > 1 is a parameter and ψ is a smooth, bounded function on (1, ∞) with − ⩽ __s__ψ′(__s__)/ψ(__s__) ⩽ θ for some θ > 0. If 1 < __p__ < 1 + 2/__N__, there are no global positive solutions, wherea