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Long time small solutions to nonlinear parabolic equations

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Publication:810292
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DOI10.1007/BF02387387zbMath0733.35061MaRDI QIDQ810292

Zhi Min Chen

Publication date: 1990

Published in: Arkiv för Matematik (Search for Journal in Brave)


zbMATH Keywords

existenceCauchy problema priori estimateBanach fixed point theoremglobal classical solution


Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)


Related Items (2)

On the blow-up of solutions of a convective reaction diffusion equation ⋮ A specifically fully nonlinear perturbation of the heat equations in exterior domains




Cites Work

  • Unnamed Item
  • Global existence for nonlinear parabolic equations
  • Existence and non-existence of global solutions for a semilinear heat equation
  • Long-time behavior of solutions to nonlinear evolution equations
  • Global existence of small solutions to a class of nonlinear evolution equations




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