A nonlocal in time parabolic system whose Fujita critical exponent is not given by scaling
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Publication:607325
DOI10.1016/j.jmaa.2010.08.079zbMath1203.35032OpenAlexW2023763818MaRDI QIDQ607325
I. G. Quinteiro, Miguel Loayza
Publication date: 22 November 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.079
Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (6)
Existence and blow-up of solutions for damped ave system with nonlinear memory ⋮ Blow-up result for a semilinear wave equation with a nonlinear memory term ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory ⋮ Lifespan and a new critical exponent for a nonlocal parabolic equation with slowly decay initial values ⋮ Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities
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