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Qualitative analysis of a nonlinear viscous diffusion equation

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Publication:419880
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DOI10.1016/j.na.2009.01.086zbMath1238.35051OpenAlexW2048747641MaRDI QIDQ419880

Tao Yu, Li-qiang Tang, Run-Zhang Xu

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.086


zbMATH Keywords

Cauchy problemglobal solutionsviscous diffusion equations


Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)




Cites Work

  • Unnamed Item
  • Global existence and asymptotics of solutions of the Cahn-Hilliard equation
  • On the Cahn-Hilliard equation
  • The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
  • Uniqueness of solutions to a viscous diffusion equation.
  • Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term
  • Stable Patterns in a Viscous Diffusion Equation


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