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Hölder Continuity of Weak Solutions for Parabolic Equations with Nonstandard Growth Conditions

✍ Scribed by Meng Xu; Ya Zhe Chen

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
230 KB
Volume
22
Category
Article
ISSN
1439-7617

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We study the phenomenon of finite time blow-up in solutions of the homogeneous Dirichlet problem for the parabolic equation we show that the finite time blow-up happens if the initial function is sufficiently large and either min In the case of the evolution p(x)-Laplace equation with the exponent