On the existence of global classical solution of initial-boundary value problem for \(\square u-u^3=f\)
From MaRDI portal
Publication:1224719
DOI10.2140/pjm.1975.60.63zbMath0324.35061OpenAlexW2087653103MaRDI QIDQ1224719
Yukiyoshi Ebihara, Mitsuhiro Nakao, Tokumori Nanbu
Publication date: 1975
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1975.60.63
Related Items
Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term ⋮ Fourth order wave equations with nonlinear strain and source terms ⋮ A global solution of certain nonlinear hyperbolic equations ⋮ Existence and asymptotic stability for evolution problems on manifolds with damping and source terms. ⋮ Some remarks on global existence to the Cauchy problem of the wave equation with nonlinear dissipation ⋮ Finite time blow-up and global solutions for fourth order damped wave equations ⋮ A class of fourth order wave equations with dissipative and nonlinear strain terms ⋮ Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term ⋮ Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term ⋮ On the global Cauchy problem for \(\square\,u+g^2u-u^3=f\) ⋮ On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source ⋮ Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations
