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On a nonlinear heat equation with functional dependence

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Publication:2729442
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DOI10.1080/00036810008840813zbMath1026.35051OpenAlexW2038259845MaRDI QIDQ2729442

Henryk Leszczyński

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840813


zbMATH Keywords

Banach spacesexistenceheat equationuniquenessCauchy problemBanach contraction principleLipschitz conditionnonlinear right-hand side


Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)


Related Items (1)

Comparison principles for parabolic differential-functional initial-value problems



Cites Work

  • Monotone iterative method for a system of nonlocal initial-boundary parabolic problems
  • Coupled nonlinear parabolic systems with time delays
  • Existence theorems for semilinear parabolic systems with functionals
  • Unnamed Item


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