Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term

DOI10.1080/00036811.2017.1400536zbMath1407.35122OpenAlexW2769805335MaRDI QIDQ4622832

Fenglong Sun, Li Shan Liu, Yong-Hong Wu

Publication date: 18 February 2019

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

Full work available at URL: https://doi.org/10.1080/00036811.2017.1400536

zbMATH Keywords

blow-upglobal existencepotential well methodmemory termpseudo-parabolic equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44)

Related Items (18)

Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data ⋮ Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term ⋮ Well defined extinction time of solutions for a class of weak-viscoelastic parabolic equation with positive initial energy ⋮ Comparative analysis on the blow-up occurrence of solutions to Hadamard type fractional differential systems ⋮ On the well-posedness of a nonlinear pseudo-parabolic equation ⋮ Unnamed Item ⋮ General decay and blow-up results for a class of nonlinear pseudo-parabolic equations with viscoelastic term ⋮ General decay and blow-up results of a Robin-Dirichlet problem for a pseudoparabolic nonlinear equation of Kirchhoff-Carrier type with viscoelastic term ⋮ Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources ⋮ Some qualitative properties of weak solution for pseudo‐parabolic equation with viscoelastic term and Robin boundary conditions ⋮ Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy ⋮ On a final value problem for a nonlinear fractional pseudo-parabolic equation ⋮ Nonexistence of global solutions for coupled system of pseudoparabolic equations with variable exponents and weak memories ⋮ Blow up in a semilinear pseudo-parabolic equation with variable exponents ⋮ Unnamed Item ⋮ Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time ⋮ On a system of nonlinear pseudoparabolic equations with Robin-Dirichlet boundary conditions ⋮ General decay for a nonlinear pseudo-parabolic equation with viscoelastic term

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