Critical exponents for a non‐Newtonian polytropic filtration equation with weighted nonlocal inner sources

This article considers the Cauchy problem for a non‐Newtonian polytropic filtration equation with weighted nonlocal inner sources ut=div(|∇um|p−2∇um)+∫RNK(x)uq(x,t)dxr−1qus+1,(x,t)∈RN×(0,T), where N ≥ 1, 1−1+m1+mN

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2020-03, Vol.43 (5), p.2403-2420
Main Authors: Zheng, Yadong, Bo Fang, Zhong
Format: Article
Language:English
Subjects:
Cauchy problems
critical exponent
Decay rate
Filtration
large time behavior
life span
quasilinear parabolic equation
Spatial data
weighted nonlocal inner sources
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Summary:This article considers the Cauchy problem for a non‐Newtonian polytropic filtration equation with weighted nonlocal inner sources ut=div(|∇um|p−2∇um)+∫RNK(x)uq(x,t)dxr−1qus+1,(x,t)∈RN×(0,T), where N ≥ 1, 1−1+m1+mN
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6051