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Hölder estimates of solutions of biological population equations

✍ Scribed by Yun-Guang Lu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
218 KB
Volume
13
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, the Cauchy problem of the degenerate parabolic equations (1) arisen in the spread of biological populations is studied. H61der continuous solutions u with exponents 2/3 with respect to the variables x,y and 1/4 with respect to t are obtained, (~) 2000 Elsevier Science Ltd. All rights reserved.

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✍ Vitali Liskevich; Igor I. Skrypnik 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 626 KB

For a class of anisotropic quasi-linear elliptic equations with measurable coefficients, following DiBenedetto's intrinsic rescaling method, we prove the Hölder continuity of solutions under the condition for which only local boundedness was known.