Blowup of solutions for a class of non-linear evolution equations with non-linear damping and source terms
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Publication:4543621
DOI10.1002/mma.312zbMath1009.35051OpenAlexW1983192673MaRDI QIDQ4543621
Publication date: 8 August 2002
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.312
Nonlinear elasticity (74B20) Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order nonlinear hyperbolic equations (35L75)
Related Items (14)
Existence and blow up time estimate for a negative initial energy solution of a nonlinear Cauchy problem ⋮ Unnamed Item ⋮ Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms ⋮ Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation ⋮ Unnamed Item ⋮ Global nonexistence of solutions for a quasilinear wave equation with acoustic boundary conditions ⋮ Blow-up of solutions for a viscoelastic equation with nonlinear damping ⋮ Cauchy problem for quasi-linear wave equations with nonlinear damping and source terms ⋮ Approximation of nonlinear wave equations with nonstandard anisotropic growth conditions ⋮ Global nonexistence of solutions for systems of quasilinear hyperbolic equations with damping and source terms ⋮ Cauchy problem for quasi-linear wave equations with viscous damping ⋮ Global existence and asymptotic behavior of solutions for some nonlinear hyperbolic equation ⋮ An explicit lower bound for blow up time in a class of nonlinear wave equations with nonlinear damping and source terms ⋮ Viscous solutions on some nonlinear wave equations
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