Existence for evolutionary problems with linear growth by stability methods

DOI10.1016/j.jde.2018.12.012zbMath1409.35127OpenAlexW2903572574WikidataQ128700314 ScholiaQ128700314MaRDI QIDQ1732153

Christoph Scheven, Verena Bögelein, Frank Duzaar, Leah Schätzler

Publication date: 22 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.12.012

zbMATH Keywords

StabilityFlows with linear growthSolutions obtained as limits of approximationsTotal variation flow

Mathematics Subject Classification ID

Variational inequalities (49J40) Stability in context of PDEs (35B35) Methods involving semicontinuity and convergence; relaxation (49J45) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)

Related Items (6)

Existence for evolutionary Neumann problems with linear growth by stability results ⋮ AN EXISTENCE RESULT FOR QUASILINEAR PARABOLIC SYSTEMS WITH LOWER ORDER TERMS ⋮ On the definition of solution to the total variation flow ⋮ Existence and uniqueness for the inhomogeneous 1-Laplace evolution equation revisited ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ Existence of variational solutions to nonlocal evolution equations via convex minimization

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