A C0 interior penalty discontinuous Galerkin Method for fourth‐order total variation flow. II: Existence and uniqueness

DOI10.1002/num.22365zbMath1416.65337OpenAlexW2917491131MaRDI QIDQ5224989

Ronald H. W. Hoppe, Rahul Kumar, Chandi Bhandari

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22365

zbMATH Keywords

existence and uniqueness\(\mathrm{C}^0\) interior penalty discontinuous Galerkin methodfourth-order total variation flow

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Applications of operator theory in numerical analysis (47N40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Higher-order parabolic systems (35K41)