Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
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Publication:1985788
DOI10.1016/j.na.2019.111664zbMath1436.35257OpenAlexW2982287244MaRDI QIDQ1985788
Publication date: 7 April 2020
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.111664
Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Local Hadamard well-posedness and blow-up for reaction-diffusion equations with non-linear dynamical boundary conditions
- On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source
- Global non-existence for some nonlinear wave equations with damping and source terms in an inhomogeneous medium
- Global nonexistence of positive initial-energy solutions of a system of nonlinear wave equations with damping and source terms.
- Blow up of arbitrarily positive initial energy solutions for a viscoelastic wave equation
- Asymptotic behaviour of solution for fourth order wave equation with dispersive and dissipative terms
- Global nonexistence for nonlinear Kirchhoff systems
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- Saddle points and instability of nonlinear hyperbolic equations
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Existence for a nonlinear wave equation with damping and source terms.
- On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources
- Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term
- Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations
- Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Global nonexistence theorems for a class of evolution equations with dissipation
- Hyperbolic dynamics of discrete dynamical systems on pseudo-Riemannian manifolds
- Fourth order wave equation with nonlinear strain and logarithmic nonlinearity
- Qualitative analysis of solutions for a class of Kirchhoff equation with linear strong damping term, nonlinear weak damping term and power-type logarithmic source term
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- The initial-boundary value problems for a class of sixth order nonlinear wave equation
- Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms
- Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness
- Editorial. Progress in nonlinear Kirchhoff problems
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term
- Global attractors for the wave equation with nonlinear damping
- On global solution of nonlinear hyperbolic equations
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations
- FINITE TIME BLOW-UP FOR THE NONLINEAR FOURTH-ORDER DISPERSIVE-DISSIPATIVE WAVE EQUATION AT HIGH ENERGY LEVEL
- Asymptotic behavior for a semilinear second order evolution equation
- LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS
- A symmetric regularized-long-wave equation
- Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
- Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time
- Logarithmic Sobolev Inequalities
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Équations d'évolution avec non linéarité logarithmique
- Gaussons: Solitons of the Logarithmic Schrödinger Equation
- Global existence and nonexistence for nonlinear wave equations with damping and source terms
- Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
- Nonlinear Analysis - Theory and Methods
- Partial Differential Equations with Variable Exponents
- Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
- Finite amplitude transverse waves in special incompressible viscoelastic solids
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