On constrained equations with singular diffusivity

DOI10.4310/MAA.2003.v10.n2.a6zbMath1058.58006MaRDI QIDQ1884166

Ryo Kobayashi, Yoshikazu Giga

Publication date: 25 October 2004

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

Full work available at URL: https://projecteuclid.org/euclid.maa/1119018756

zbMATH Keywords

energy functionalparabolic equationharmonic mapfirst variation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Variational principles in infinite-dimensional spaces (58E30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

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The 1-harmonic flow with values into a smooth planar curve ⋮ Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise ⋮ A new numerical scheme for discrete constrained total variation flows and its convergence ⋮ Total variation flow perturbed by gradient linear multiplicative noise ⋮ Very singular diffusion equations: second and fourth order problems ⋮ Kolmogorov operators and SPDEs ⋮ A counterexample to finite time stopping property for one-harmonic map flow

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