Global existence and blow-up of solutions for logarithmic Klein-Gordon equation

DOI10.3934/math.2021404zbMath1484.35276OpenAlexW3191086953MaRDI QIDQ2130751

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021404

zbMATH Keywords

initial-boundary value problem blow-up Klein-Gordon equation global solutions logarithmic nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Second-order hyperbolic equations (35L10) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations
Systems of nonlinear wave equations with damping and source terms.
Logarithmic quantum mechanics: existence of the ground state
On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations
Saddle points and instability of nonlinear hyperbolic equations
On potential wells and vacuum isolating of solutions for semilinear wave equations
Minimax theorems
Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
Convergence of logarithmic quantum mechanics to the linear one
On potential wells and applications to semilinear hyperbolic equations and parabolic equations
Global solutions and finite time blow up for damped semilinear wave equations
On global solution of nonlinear hyperbolic equations
On a Class of Nonlinear Second-Order Differential Equations
Stable solutions of the logarithmic Schrödinger equation
One-dimensional Klein–Gordon equation with logarithmic nonlinearities
On $L_p$-decay and scattering for nonlinear Klein-Gordon equations.
Logarithmic Sobolev Inequalities
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
Équations d'évolution avec non linéarité logarithmique
Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
Global existence and nonexistence in a system of Petrovsky

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