Existence of solutions for a higher order non-local equation appearing in crack dynamics

DOI10.1088/0951-7715/24/12/008zbMath1230.35053arXiv1001.5105OpenAlexW2028870992MaRDI QIDQ3107999

Cyril Imbert, Antoine Mellet

Publication date: 28 December 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.5105

zbMATH Keywords

Dirichlet-to-Neumann operatorhydraulic fracturesperiodic Hilbert transform

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order parabolic equations (35K25) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09)

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