Study of weak solutions for parabolic equations with nonstandard growth conditions

By Bin Guo, Wenjie Gao. 2011

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Abstract The authors of this paper study the existence and uniqueness of weak solutions of the initial and boundary value problem for u t = div ( ( u σ + d 0 ) | ∇ u | p ( x , t ) − 2 ∇ u ) + f ( x , t ) . Localization property of weak solutions is also discussed.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/88f04be641fd4396e75c30c114c6091a50578d84