A blowup result in a multidimensional semilinear thermoelastic system.
Blow-up of solutions of a semilinear heat equation with a memory term.
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping.
A blow-up result for a viscoelastic system in .
Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound.
A three-point boundary-value problem for a hyperbolic equation with a non-local condition.
Blowup of solutions of a nonlinear wave equation.
A nonlocal mixed semilinear problem for second-order hyperbolic equations.
Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation
We establish the blow-up of solutions to the Kirchhoff equation of q-Laplacian type with a nonlinear dissipative term , x ∈ Ω, t > 0.
Breakdown in finite time of solutions to a one-dimensional wave equation.
We consider a special type of a one-dimensional quasilinear wave equation w - phi (w / w) w = 0 in a bounded domain with Dirichlet boundary conditions and show that classical solutions blow up in finite time even for small initial data in some norm.
Decay estimates of solutions of a nonlinearly damped semilinear wave equation
We consider an initial boundary value problem for the equation . We first prove local and global existence results under suitable conditions on f and g. Then we show that weak solutions decay either algebraically or exponentially depending on the rate of growth of g. This result improves and includes earlier decay results established by the authors.
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