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Global existence and blowup for a semilinear integral equation

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Publication:1188409
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DOI10.1216/jiea/1181075585zbMath0757.45011OpenAlexW2069607219MaRDI QIDQ1188409

S. Singh

Publication date: 13 August 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075585


zbMATH Keywords

local existenceglobal existenceBanach spacegrowth estimateparabolic integrodifferential equationlinear initial value problemsemilinear initial value problemsemilinear integral equation


Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)


Related Items

Blowup in diffusion equations: A survey



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Semigroups of linear operators and applications to partial differential equations
  • Analytic resolvent operators for integral equations in Banach space
  • On wave propagation in linear viscoelasticity
  • Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids
  • A model for one-dimensional, nonlinear viscoelasticity
  • Breakdown of smooth solutions in dissipative nonlinear hyperbolic equations
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