Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level
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Publication:2108211
DOI10.1186/S13661-019-1136-XOpenAlexW2913895948WikidataQ128586317 ScholiaQ128586317MaRDI QIDQ2108211
Li Shan Liu, Fenglong Sun, Yong-Hong Wu
Publication date: 19 December 2022
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-019-1136-x
Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (12)
Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann-Stieltjes integral boundary value conditions ⋮ Blow-up of solutions to the fourth-order equation with variable-exponent nonlinear weak damping ⋮ Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term ⋮ Blow-up phenomena for a class of extensible beam equations ⋮ Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources ⋮ Unnamed Item ⋮ Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy ⋮ Blow up of solutions for a nonlinear Petrovsky type equation with time-dependent coefficients ⋮ Nonexistence of global solutions for a class of viscoelastic wave equations ⋮ Unique iterative positive solutions for a singular \(p\)-Laplacian fractional differential equation system with infinite-point boundary conditions ⋮ Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy ⋮ On the boundary value problems of piecewise differential equations with left-right fractional derivatives and delay
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