A functional inequality and its applications to a class of nonlinear fourth-order parabolic equations

DOI10.4310/MAA.2016.V23.N2.A3zbMath1380.35115OpenAlexW2464899445MaRDI QIDQ312424

Xiangsheng Xu

Publication date: 15 September 2016

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2016.v23.n2.a3

zbMATH Keywords

existencefunctional inequalitiesLipschitz boundariesnonlinear fourth-order parabolic equationsquantum drift-diffusion model

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Partial differential equations of mathematical physics and other areas of application (35Q99) Weak solutions to PDEs (35D30) Initial value problems for higher-order parabolic equations (35K30)

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