Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux |
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Authors: | Zhongping Li Chunlai Mu |
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Institution: | a College of Mathematics and Physics, Chongqing University, Chongqing, 400044, PR China b College of Mathematics and Information, China West Normal University, Nanchong 637002, PR China |
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Abstract: | In this paper, we establish the critical global existence exponent and the critical Fujita exponent for the nonlinear diffusion equation ut=(logσ(1+u)ux)x, in R+×(0,+∞), subject to a logarithmic boundary flux , furthermore give the blow-up rate for the nonglobal solutions. |
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Keywords: | 35B33 35K20 35K57 |
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