Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
From MaRDI portal
Publication:2323114
DOI10.1515/anona-2020-0016zbMath1421.35222OpenAlexW2959463130WikidataQ127526789 ScholiaQ127526789MaRDI QIDQ2323114
Publication date: 30 August 2019
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2020-0016
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (only showing first 100 items - show all)
Well-posedness, asymptotic stability and blow-up results for a nonlocal singular viscoelastic problem with logarithmic nonlinearity ⋮ Well-posedness and asymptotic behavior for the dissipative \(p\)-biharmonic wave equation with logarithmic nonlinearity and damping terms ⋮ Qualitative behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with strongly damping terms ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ Blow-up phenomena for a singular nonlocal viscoelastic problem with logarithmic nonlinearity ⋮ Unnamed Item ⋮ Blow-up analysis for two kinds of nonlinear wave equations ⋮ Invariant tori of full dimension for higher-dimensional beam equations with almost-periodic forcing ⋮ Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity ⋮ On decay and blow-up of solutions for a nonlinear Petrovsky system with conical degeneration ⋮ Initial boundary value problem for a class of higher-order \(n\)-dimensional nonlinear pseudo-parabolic equations ⋮ Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy ⋮ New scenario of decay rate for system of three nonlinear wave equations with visco-elasticities ⋮ Blow-up of weak solutions for a porous elastic system with nonlinear damping and source terms ⋮ Decay rate for systems of \(m\)-nonlinear wave equations with new viscoelastic structures ⋮ Global existence and blowup of solutions for a semilinear Klein-Gordon equation with the product of logarithmic and power-type nonlinearity ⋮ Global existence and asymptotic behavior of solutions to fractional ( p , q )-Laplacian equations ⋮ Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity ⋮ Strict Decay Rate for System of Three Nonlinear Wave Equations Depending on the Relaxation Functions ⋮ Blow up and decay for a class of \(p\)-Laplacian hyperbolic equation with logarithmic nonlinearity ⋮ Blow-up for a damped \(p\)-Laplacian type wave equation with logarithmic nonlinearity ⋮ Anomalous pseudo-parabolic Kirchhoff-type dynamical model ⋮ Global existence, energy decay and blow-up of solutions for wave equations with time delay and logarithmic source ⋮ Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy ⋮ Global strong solution of fourth order nonlinear wave equation ⋮ High energy blow up for two-dimensional generalized exponential-type Boussinesq equation ⋮ Long time behavior for the stochastic parabolic-wave systems with delay on infinite lattice ⋮ General decay of a nonlinear viscoelastic wave equation with Balakrishnân-Taylor damping and a delay involving variable exponents ⋮ Global well‐posedness and finite time blow‐up for a class of wave equation involving fractional p‐Laplacian with logarithmic nonlinearity ⋮ Critical and sup-critical initial energy finite time blowup phenomena for the fourth-order wave equations with nonlinear strain term ⋮ Global existence and asymptotic behaviour of solution for a damped nonlinear hyperbolic equation ⋮ On family of potential wells and applications to semilinear hyperbolic equations and parabolic equations ⋮ Lamé system with weak damping and nonlinear time-varying delay ⋮ Global existence, asymptotic behavior, and regularity of solutions for time–space fractional Rosenau equations ⋮ Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity ⋮ Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity ⋮ Blow-up phenomena for a class of extensible beam equations ⋮ Qualitative properties of solution to a viscoelastic Kirchhoff-like plate equation ⋮ Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping ⋮ On a semilinear wave equation with Kirchhoff-type nonlocal damping terms and logarithmic nonlinearity ⋮ Global well-posedness of wave equation with weak and strong damping terms p-Laplacian and logarithmic nonlinearity source term ⋮ Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions ⋮ Asymptotic Stability for a Quasilinear Viscoelastic Equation with Nonlinear Damping and Memory ⋮ Initial boundary value problem for \(p\)-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity ⋮ Local existence, global existence and decay results of a logarithmic wave equation with delay term ⋮ The qualitative behavior for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity ⋮ Blowup phenomena for a fourth order wave equation at high initial energy level ⋮ Dynamics of a coupled system for nonlinear damped wave equations with variable exponents ⋮ Global existence and blow up of solutions for a class of coupled parabolic systems with logarithmic nonlinearity ⋮ Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source ⋮ The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term ⋮ Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces ⋮ Blow-up in damped abstract nonlinear equations ⋮ Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition ⋮ New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a final value problem for a nonlinear fractional pseudo-parabolic equation ⋮ Finite time blow-up for a viscoelastic wave equation with weak-strong damping and power nonlinearity ⋮ Global existence and blow-up for a Kirchhoff-type hyperbolic problem with logarithmic nonlinearity ⋮ Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion ⋮ Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities ⋮ Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems ⋮ Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations ⋮ Arbitrarily positive initial energy blowup and blowup time for some fourth-order viscous wave equation ⋮ Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement ⋮ Unnamed Item ⋮ New estimates of solution to coupled system of damped wave equations with logarithmic external forces ⋮ Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients ⋮ Semilinear pseudo-parabolic equations on manifolds with conical singularities ⋮ A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms ⋮ Non-global solution for visco-elastic dynamical system with nonlinear source term in control problem ⋮ A note on finite time blowup for dissipative Klein-Gordon equation ⋮ Hyperbolic and parabolic equations with several opposite-sign source at critical initial energy level in heat and vibrating systems ⋮ Global well-posedness for the Cauchy problem of generalized Boussinesq equations in the control problem regarding initial data ⋮ Nonexistence of global solutions for a class of viscoelastic wave equations ⋮ On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term ⋮ Blow-up phenomena for the sixth-order Boussinesq equation with fourth-order dispersion term and nonlinear source ⋮ A class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films ⋮ Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms ⋮ Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge ⋮ Existence and blow-up of solutions for fractional wave equations of Kirchhoff type with viscoelasticity ⋮ Long-time behavior for fourth-order wave equations with strain term and nonlinear weak damping term ⋮ Decay results for a viscoelastic problem with nonlinear boundary feedback and logarithmic source term ⋮ Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity ⋮ Global well-posedness analysis for the nonlinear extensible beam equations in a class of modified Woinowsky-Krieger models ⋮ Kirchhoff-type differential inclusion problems involving the fractional Laplacian and strong damping ⋮ A family of potential wells for a wave equation ⋮ Energy asymptotics for the strongly damped Klein-Gordon equation ⋮ General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions ⋮ Blow-up of solution to semilinear wave equations with strong damping and scattering damping ⋮ Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation ⋮ Discontinuous Galerkin method for the diffusive-viscous wave equation ⋮ Cauchy problem of nonlinear Klein-Gordon equations with general nonlinearities ⋮ Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms ⋮ Exponential decay of solutions to a class of fourth-order nonlinear hyperbolic equations modeling the oscillations of suspension bridges ⋮ Global well-posedness of solutions for the \(p\)-Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Saddle points and instability of nonlinear hyperbolic equations
- Global nonexistence for abstract evolution equations with positive initial energy
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- On the strongly damped wave equation
- Global nonexistence theorems for a class of evolution equations with dissipation
- The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term
- Global solutions and finite time blow up for damped semilinear wave equations
- On global solution of nonlinear hyperbolic equations
- Exponential Decay of Energy for a Logarithmic Wave Equation
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Logarithmic Sobolev Inequalities
- Équations d'évolution avec non linéarité logarithmique
- GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS
This page was built for publication: Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term