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The unique solvability of a certain nonlocal nonlinear problem with a spatial operator strongly monotone with respect to the gradient

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Publication:1759256
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DOI10.3103/S1066369X12030103zbMath1255.35010OpenAlexW2127073147MaRDI QIDQ1759256

Xianqiang Yang

Publication date: 20 November 2012

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x12030103


zbMATH Keywords

nonlocal operator


Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59)


Related Items (2)

On unique solvability of one nonlinear nonlocal with respect to the solution gradient nonstationary problem ⋮ Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator




Cites Work

  • Asymptotic behaviour of some nonlocal diffusion problems
  • Unnamed Item




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