The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems

DOI10.1007/s00526-021-02149-5zbMath1483.35126OpenAlexW4205727471WikidataQ114018033 ScholiaQ114018033MaRDI QIDQ2075804

Daniel Hauer, José M. Mazón Ruiz

Publication date: 16 February 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-021-02149-5

zbMATH Keywords

singular coupled elliptic-parabolic initial boundary-value problemtotal variational flow operator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem ⋮ Least gradient problem with Dirichlet condition imposed on a part of the boundary ⋮ Dirichlet or Neumann problem for weighted 1-Laplace equation with application to image denoising ⋮ Nonlinear elliptic-parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent

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