Global existence and non-existence for a higher-order parabolic equation with time-fractional term

DOI10.1016/j.na.2012.03.005zbMath1298.35103OpenAlexW1982913571MaRDI QIDQ417794

Fuqin Sun, Pei-hu Shi

Publication date: 14 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.2012.03.005

zbMATH Keywords

existencenon-existenceglobal solutionsdecay estimateshigher-order parabolic equationnonlocal-in-time nonlinearity

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order parabolic equations (35K30) Higher-order parabolic equations (35K25) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

Related Items (6)

Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives ⋮ Pointwise bounds and blow-up for nonlinear fractional parabolic inequalities ⋮ Pointwise bounds and blow-up for systems of nonlinear fractional parabolic inequalities ⋮ Blow-up rates for a higher-order semilinear parabolic equation with nonlinear memory term

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