Local and global existence of solutions to a fourth-order parabolic equation modeling kinetic roughening and coarsening in thin films

DOI10.4310/CMS.2017.V15.N8.A5MaRDI QIDQ1709654

Xiangsheng Xu

Publication date: 6 April 2018

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05117

zbMATH Keywords

interpolation inequalitythin film growthlocal and global existence of weak solutionsbiharmonic heat kernelnonlinear fourth order parabolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Theoretical approximation in context of PDEs (35A35) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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