Existence of renormalized solutions to a nonlinear parabolic equation in L1 setting with nonstandard growth condition and gradient term

DOI10.1002/mma.3280zbMath1329.35171OpenAlexW2035717721MaRDI QIDQ3462599

Wen-jie Gao, Zhongqing Li

Publication date: 15 January 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3280

zbMATH Keywords

truncationgradient term\(L^{1}\) dataparabolic \(p(x)\)-Laplace equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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