Blow up of arbitrarily positive initial energy solutions for a viscoelastic wave equation

DOI10.1016/j.nonrwa.2015.05.015zbMath1331.35238OpenAlexW2196729991MaRDI QIDQ896480

Haitao Song

Publication date: 9 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.05.015

zbMATH Keywords

Dirichlet boundary conditionshigh initial energypower-like nonlinearities

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear constitutive equations for materials with memory (74D10) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Second-order quasilinear hyperbolic equations (35L72)

Related Items

Blow-up of positive-initial-energy solutions for nonlinearly damped semilinear wave equations, Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms, General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping, A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy, Bounds for blow-up time to a viscoelastic hyperbolic equation of Kirchhoff type with variable sources, Finite time blow-up for a thin-film equation with initial data at arbitrary energy level, Blow-up and lifespan of solutions for a nonlinear viscoelastic Kirchhoff equation, Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy, Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term, Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity, Finite time blow-up for a class of parabolic or pseudo-parabolic equations, Blow up of solutions for a nonlinear Petrovsky type equation with time-dependent coefficients, Study of a viscoelastic wave equation with a strong damping and variable exponents, Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level, Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level, Blow-up results for a quasilinear von Karman equation of memory type

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